57255968 has 96 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 21116160.

The previous prime is 57255943. The next prime is 57255971. The reversal of 57255968 is 86955275.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46205 + ... + 47427.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2^57255968 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 57255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

57255968 is an abundant number, since it is smaller than the sum of its proper divisors (90799072).

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

57255968 is a wasteful number, since it uses less digits than its factorization.

57255968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1262 counting only the distinct ones).

The product of its digits is 756000, while the sum is 47.

The square root of 57255968 is about 7566.7673414742. The cubic root of 57255968 is about 385.4253308063.

The spelling of 57255968 in words is "fifty-seven million, two hundred fifty-five thousand, nine hundred sixty-eight".