Amman is a very cool city with a strong European flair, but an Arab sensibility. There is great food to be had easily and a lively cultural and social life. It is also near one of the seven wonders of the world: Petra, which is one of those cultural destinations that is really worth the trip.
The city is very close to the relaxing aqueous solution that is the Dead Sea. Just don’t get the liquid in your eyes. It is about 31.5% salt so while it looks like water it does not feel like water, neither in consistency (oddly viscous feeling) nor in resultant buoyancy (bizarrely high). As with all unusual natural waters in the world, it is believed to possess semi-supernatural healing powers.