57813680 has 40 divisors (see below), whose sum is σ = 135302352. Its totient is φ = 22973184.

The previous prime is 57813677. The next prime is 57813703. The reversal of 57813680 is 8631875.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10259 + ... + 14861.

Almost surely, 2^57813680 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 57813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67651176).

57813680 is an abundant number, since it is smaller than the sum of its proper divisors (77488672).

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

57813680 is a wasteful number, since it uses less digits than its factorization.

57813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 57813680 is about 7603.5307587988. The cubic root of 57813680 is about 386.6727241752.

The spelling of 57813680 in words is "fifty-seven million, eight hundred thirteen thousand, six hundred eighty".