57056688 has 120 divisors (see below), whose sum is σ = 178061520. Its totient is φ = 16934400.

The previous prime is 57056687. The next prime is 57056689. The reversal of 57056688 is 88665075.

57056688 is a `hidden beast` number, since 5 + 7 + 0 + 566 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (57056687) and next prime (57056689).

It is not an unprimeable number, because it can be changed into a prime (57056687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53763 + ... + 54813.

It is an arithmetic number, because the mean of its divisors is an integer number (1483846).

Almost surely, 2^57056688 is an apocalyptic number.

57056688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57056688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89030760).

57056688 is an abundant number, since it is smaller than the sum of its proper divisors (121004832).

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

57056688 is a wasteful number, since it uses less digits than its factorization.

57056688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 57056688 is about 7553.5877568213. The cubic root of 57056688 is about 384.9776520451.

The spelling of 57056688 in words is "fifty-seven million, fifty-six thousand, six hundred eighty-eight".