57000680 has 48 divisors (see below), whose sum is σ = 140982660. Its totient is φ = 20725760.

The previous prime is 57000679. The next prime is 57000709. The reversal of 57000680 is 8600075.

57000680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56942116 + 58564 = 7546^2 + 242^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049 + ... + 10728.

Almost surely, 2^57000680 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 57000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70491330).

57000680 is an abundant number, since it is smaller than the sum of its proper divisors (83981980).

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

57000680 is a wasteful number, since it uses less digits than its factorization.

57000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11810 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 57000680 is about 7549.8794692366. The cubic root of 57000680 is about 384.8516435197.

The spelling of 57000680 in words is "fifty-seven million, six hundred eighty", and thus it is an aban number.