Sub+amp configuration
With a single 4-ohm subwoofer, usually the best choice is a 2-channel amp that can be bridged to a single channel. In your case, the sub is rated for 1000 watts. Not many amps are rated for that kind of continuous power into a 4-ohm load.
Kicker doesn't list a minimum power rating, which isn't unusual in subwoofer specs. Depending on your budget, I'd look for an amp rated for 300-500 watts minimum; the higher, the better, up to 1000 watts.
Most amps will have several power ratings, based on the load impedance and number of channels driven. A typical 2-channel amp might be rated like this:
150 watts x 2 channels at 4 ohms
300 watts x 2 channels at 2 ohms
500 watts x 1 channel at 4 ohms.
The power rating you'll want to look at will be the 1-channel, 4-ohm rating.
You can look at mono amps, too, but in the power ranges you're looking for, a 2-channel amp will probably give you the best value. However, if you can find a mono amp with a high enough 4-ohm power rating, it would run cooler and might last longer than a 2-channel amp with comparable power. When looking at mono amps, you'll find their highest power output will be at 2 ohms or 1 ohm; make sure you're checking the 4-ohm rating when making comparisons.
Some amplifiers that might work well for you:
Kicker SX900.2
Kicker ZX850.2
Alpine PDX-1.1000
Rockford T600-2
Hifonics ZXi 1006
Premier PRS-D2100T
Power Acoustik OV2-2200
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