Installing apps from the App Store is one of the things that makes the iPhone, iPad, and iPod touch so great. With those apps, you can add all kinds of features and fun to your device. If you own an iPod nano, however, your ability to add apps depends on which model you have.
Apple discontinued the iPod nano on July 27, 2017.
7th and 6th Generation iPod nano: Only Built-in Apps
The most recent versions of the nano—the 7th and 6th generation models—present sort of a confusing situation for apps.
The operating system that runs on these models looks and acts a lot like iOS, the operating system used on the iPhone, iPod touch, and iPad. Add a multitouch screen and Home button—on the 7th generation model, at least—and these models of the nano feel like a miniature iPod touch. They seem so much like mini-touches that it's easy to assume that these iPods are running a version of iOS and should be able to run apps.
But appearances are deceiving. While the operating system on the 7th and 6th generation iPod nanos look and act in a similar way, these nanos do not run iOS and don't support any apps. Plus, you can't get apps from the App Store that run on them.
The 7th and 6th generation iPod nanos ship with apps created by Apple. These include an FM radio tuner, a pedometer, a clock, and a photo viewer. So, these nanos can run apps, but they don't support any non-Apple apps created by external developers. There's also no jailbreak for these models that allows unofficial apps to be added.
For these models to support apps from independent developers, Apple would have to release tools and guidelines to support them. It would also need to provide some way for users to get and install the apps, like an App Store. Given that Apple officially announced the end of the entire iPod nano product line (along with the iPod Shuffle) in July 2017, it's a safe bet that this development will never happen.
5th, 4th, and 3rd Generation iPod nano: Games and Apps
Unlike the newer models, the 3rd, 4th, and 5th generation iPod nanos can run a limited number of Apple-supplied apps. They also come with some standard games. These are not iPhone apps and these models don't run iOS, either. They are games specifically made for the nano by Apple. The games included with these models were:4th and 5th generation: Maze, Klondike, Vortex 3rd generation: iQuiz, Klondike, Vortex
People could add games and study tools that were available through the iTunes Store (this was before there was an App Store). These apps generally cost US$5 or less. There was never a huge number of these apps and games, and Apple removed them from the iTunes Store in late 2011. If you bought these apps for your nano in the past, you can still use them on models that support them.
Despite Apple no longer offering apps for the iPod nano, there are a few websites where you can download text-based trivia games, including iPodArcade. You may also be able to find some of the games that were sold through the iTunes Store on file-sharing sites. This practice isn't legal, but it's the only way to get those games these days.
2nd and 1st Generation iPod nano: Limited Number of Games
Like the 3rd, 4th, and 5th generation models, the two original generations of the iPod nano came with a few stock games provided by Apple. Those games were Brick, Music Quiz, Parachute, and Solitaire. Unlike the later models, there were no games and apps available at the iTunes Store for these models.