57007264 has 24 divisors (see below), whose sum is σ = 115855488. Its totient is φ = 27583680.

The previous prime is 57007241. The next prime is 57007267. The reversal of 57007264 is 46270075.

57007264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (57007267) 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 3 ways as a sum of consecutive naturals, for example, 27742 + ... + 29725.

It is an arithmetic number, because the mean of its divisors is an integer number (4827312).

Almost surely, 2^57007264 is an apocalyptic number.

It is an amenable number.

57007264 is an abundant number, since it is smaller than the sum of its proper divisors (58848224).

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

57007264 is a wasteful number, since it uses less digits than its factorization.

57007264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57508 (or 57500 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 57007264 is about 7550.3154900971. The cubic root of 57007264 is about 384.8664606860.

The spelling of 57007264 in words is "fifty-seven million, seven thousand, two hundred sixty-four".