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Speaker wattage is a measure of the power handling capability of the speaker. This assumes a clean un-clipped signal from the amp. The spec you need is Sensitivity: Sound Pressure Level (in db) with 1 watt input of a 1khz signal measured at distance of 1 meter from the speaker. Highly efficient speakers are going to be around 96/98 db.
If your speaker is rated at 93 db 1watt/1meter, then it will take twice as much amplifier power to run it up to 96 db.
Depending on whether you want your ears to bleed, most speakers will do quite well with 100 watt or so high quality amplifiers. Keep in mind, if you want extreme volumes get a 200/300 watt amp or better to give you the headroom needed to keep signals from clipping and blowing your speakers.
This answer assumes the question was for home stereo.
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EzraTo run 650 watt speakers effectively, you should consider an amplifier that can provide around 800-1000 watts per channel at the same impedance as your speakers. This ensures headroom for occasional power peaks and prevents overdriving the amplifier. Make sure to match the impedance and power ratings of the amplifier and speakers for optimal performance.
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