57125664 has 72 divisors (see below), whose sum is σ = 163734480. Its totient is φ = 18891648.

The previous prime is 57125659. The next prime is 57125671. The reversal of 57125664 is 46652175.

It is a happy number.

57125664 is a `hidden beast` number, since 571 + 25 + 6 + 64 = 666.

57125664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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, 39319 + ... + 40745.

It is an arithmetic number, because the mean of its divisors is an integer number (2274090).

Almost surely, 2^57125664 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 57125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81867240).

57125664 is an abundant number, since it is smaller than the sum of its proper divisors (106608816).

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

57125664 is a wasteful number, since it uses less digits than its factorization.

57125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1571 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 57125664 is about 7558.1521551236. The cubic root of 57125664 is about 385.1327231165.

The spelling of 57125664 in words is "fifty-seven million, one hundred twenty-five thousand, six hundred sixty-four".