57077264 has 20 divisors (see below), whose sum is σ = 111203820. Its totient is φ = 28379520.

The previous prime is 57077257. The next prime is 57077269. The reversal of 57077264 is 46277075.

57077264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10837264 + 46240000 = 3292^2 + 6800^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (57077269) 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, 6959 + ... + 12750.

It is an arithmetic number, because the mean of its divisors is an integer number (5560191).

Almost surely, 2^57077264 is an apocalyptic number.

It is an amenable number.

57077264 is a deficient number, since it is larger than the sum of its proper divisors (54126556).

57077264 is a wasteful number, since it uses less digits than its factorization.

57077264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898 (or 19892 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 57077264 is about 7554.9496358348. The cubic root of 57077264 is about 385.0239238521.

The spelling of 57077264 in words is "fifty-seven million, seventy-seven thousand, two hundred sixty-four".