57006864 has 60 divisors (see below), whose sum is σ = 162953856. Its totient is φ = 18595776.

The previous prime is 57006847. The next prime is 57006881. The reversal of 57006864 is 46860075.

It is a happy number.

57006864 is a `hidden beast` number, since 570 + 0 + 6 + 86 + 4 = 666.

57006864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57006847) and next prime (57006881).

It is a super-2 number, since 2×57006864² = 6499565086228992, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2557 + ... + 10979.

Almost surely, 2^57006864 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 57006864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81476928).

57006864 is an abundant number, since it is smaller than the sum of its proper divisors (105946992).

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

57006864 is a wasteful number, since it uses less digits than its factorization.

57006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 57006864 is about 7550.2890010913. The cubic root of 57006864 is about 384.8655605262.

The spelling of 57006864 in words is "fifty-seven million, six thousand, eight hundred sixty-four".