680262624 has 180 divisors, whose sum is σ = 2114376264. Its totient is φ = 214524288.

The previous prime is 680262607. The next prime is 680262659. The reversal of 680262624 is 426262086.

680262624 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 626 + 24 = 666.

It is a super-2 number, since 2×680262624² = 925514475222730752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 935349 + ... + 936075.

Almost surely, 2^680262624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680262624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057188132).

680262624 is an abundant number, since it is smaller than the sum of its proper divisors (1434113640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

680262624 is a wasteful number, since it uses less digits than its factorization.

680262624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 680262624 is about 26081.8447200347. The cubic root of 680262624 is about 879.4791270172.

The spelling of 680262624 in words is "six hundred eighty million, two hundred sixty-two thousand, six hundred twenty-four".