57952680 has 64 divisors (see below), whose sum is σ = 178113600. Its totient is φ = 15075840.

The previous prime is 57952669. The next prime is 57952681. The reversal of 57952680 is 8625975.

It is not an unprimeable number, because it can be changed into a prime (57952681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970 + ... + 10809.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 2^57952680 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 57952680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

57952680 is an abundant number, since it is smaller than the sum of its proper divisors (120160920).

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

57952680 is a wasteful number, since it uses less digits than its factorization.

57952680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11834 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 57952680 is about 7612.6657617421. The cubic root of 57952680 is about 386.9823653737.

The spelling of 57952680 in words is "fifty-seven million, nine hundred fifty-two thousand, six hundred eighty".