57900960 has 192 divisors, whose sum is σ = 218453760. Its totient is φ = 14238720.

The previous prime is 57900937. The next prime is 57900989. The reversal of 57900960 is 6900975.

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 31 ways as a sum of consecutive naturals, for example, 55645 + ... + 56675.

It is an arithmetic number, because the mean of its divisors is an integer number (1137780).

Almost surely, 2^57900960 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 57900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109226880).

57900960 is an abundant number, since it is smaller than the sum of its proper divisors (160552800).

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

57900960 is a wasteful number, since it uses less digits than its factorization.

57900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 57900960 is about 7609.2680331291. The cubic root of 57900960 is about 386.8672100150.

The spelling of 57900960 in words is "fifty-seven million, nine hundred thousand, nine hundred sixty".