Benjamin mentioned having an escape from the apartment.
I would like to expand on that a bit.
Check out your hall, stair wells and the exit doors. Make sure you can get out and that they are not blocked. (get escape tools if you need them)

Flash lights are good but a few candles are cheap, fit in a drawer and the batteries never go dead from sitting. Just remember to include some decent candle holders so you don't start a fire.

Keep some plastic jugs of water frozen in your freezer. If you lose power they might save some of your food for you and are part of your emergency water supply.

There are some cheap propane barbecues and butane powered stoves available now. These are cheap and the butane stoves can be used inside if you open a window.