Hello.
I do believe your Dell Inspiron 620 uses an ATX power supply.
The EVGA power supply you have chosen is ATX, so it should work with no issues.
When installing the new PSU, make sure to connect the 20/24pin to the motherboard (Biggest cable), and the 4pin connector to the CPU power socket - usually at the top of the motherboard. If in doubt, look to see how your current power supply is plugged in!
Quick summary - yes it should work just fine.