680724660 has 384 divisors, whose sum is σ = 2528870400. Its totient is φ = 135475200.

The previous prime is 680724643. The next prime is 680724661. The reversal of 680724660 is 66427086.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680724661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7017732 + ... + 7017828.

It is an arithmetic number, because the mean of its divisors is an integer number (6585600).

Almost surely, 2^680724660 is an apocalyptic number.

680724660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680724660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264435200).

680724660 is an abundant number, since it is smaller than the sum of its proper divisors (1848145740).

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

680724660 is a wasteful number, since it uses less digits than its factorization.

680724660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 680724660 is about 26090.7006421828. The cubic root of 680724660 is about 879.6781967295.

The spelling of 680724660 in words is "six hundred eighty million, seven hundred twenty-four thousand, six hundred sixty".