You are money ahead to take it the very first day you can.
Let's assume you'd get $1,000/month at 62 and $1,600/month at 66.
If you start taking the $1000, you'd receive $48,000 from then until you turned 66. Now divide that $48k by 600 and you see that it would take 80 months, or almost seven years, to make up the $48k you wouldn't have gotten if you had waited to start accepting the cash. So you wouldn't actually come out "ahead" until you turned 73.
Cleverly disguised as a responsible adult.