The Mi Band has a couple of non-fitness features including an alarm and vibrations when you get a call.
Its a shame that it cant vibrate when you get text messages and WhatsApps - as smart jewelry without displays do - but again Xiaomi is sticking to the basics to keep costs down and that battery life long.
If you have a Xiaomi phone - which you probably dont - you can also set up the Mi Band as a safe device with its Smart Lock feature. So when the Mi Band is near, your phone unlocks automatically. Its a nice extra, and will do well in China where both Xiaomi phones and Mi Bands are much more common than in the UK, Europe and the US. It would be great to see this feature rolled out to all Android phones but thats no doubt out of Xiaomis control for now.