57053664 has 72 divisors (see below), whose sum is σ = 162981000. Its totient is φ = 18931968.

The previous prime is 57053663. The next prime is 57053669. The reversal of 57053664 is 46635075.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57053663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114087 + ... + 114585.

It is an arithmetic number, because the mean of its divisors is an integer number (2263625).

Almost surely, 2^57053664 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 57053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81490500).

57053664 is an abundant number, since it is smaller than the sum of its proper divisors (105927336).

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

57053664 is a wasteful number, since it uses less digits than its factorization.

57053664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 57053664 is about 7553.3875843889. The cubic root of 57053664 is about 384.9708506632.

The spelling of 57053664 in words is "fifty-seven million, fifty-three thousand, six hundred sixty-four".