57264064 has 56 divisors (see below), whose sum is σ = 133520688. Its totient is φ = 24023040.

The previous prime is 57264061. The next prime is 57264073. The reversal of 57264064 is 46046275.

57264064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×57264064³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57264061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6024 + ... + 12280.

It is an arithmetic number, because the mean of its divisors is an integer number (2384298).

Almost surely, 2^57264064 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 57264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66760344).

57264064 is an abundant number, since it is smaller than the sum of its proper divisors (76256624).

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

57264064 is a wasteful number, since it uses less digits than its factorization.

57264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 57264064 is about 7567.3022934200. The cubic root of 57264064 is about 385.4434963444.

The spelling of 57264064 in words is "fifty-seven million, two hundred sixty-four thousand, sixty-four".