57240864 has 96 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 18855936.

The previous prime is 57240857. The next prime is 57240881. The reversal of 57240864 is 46804275.

57240864 is a `hidden beast` number, since 572 + 4 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×57240864² = 6553033022932992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 83467 + ... + 84149.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 2^57240864 is an apocalyptic number.

57240864 is a gapful number since it is divisible by the number (54) 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 57240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

57240864 is an abundant number, since it is smaller than the sum of its proper divisors (111679776).

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

57240864 is a wasteful number, since it uses less digits than its factorization.

57240864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57240864 is about 7565.7692272498. The cubic root of 57240864 is about 385.3914363706.

The spelling of 57240864 in words is "fifty-seven million, two hundred forty thousand, eight hundred sixty-four".