57126564 has 36 divisors (see below), whose sum is σ = 157531920. Its totient is φ = 17310960.

The previous prime is 57126547. The next prime is 57126577. The reversal of 57126564 is 46562175.

It is a happy number.

57126564 is a `hidden beast` number, since 5 + 71 + 26 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71734 + ... + 72525.

Almost surely, 2^57126564 is an apocalyptic number.

It is an amenable number.

57126564 is an abundant number, since it is smaller than the sum of its proper divisors (100405356).

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

57126564 is a wasteful number, since it uses less digits than its factorization.

57126564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144280 (or 144275 counting only the distinct ones).

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

The square root of 57126564 is about 7558.2116932513. The cubic root of 57126564 is about 385.1347456613.

It can be divided in two parts, 57 and 126564, that added together give a palindrome (126621).

The spelling of 57126564 in words is "fifty-seven million, one hundred twenty-six thousand, five hundred sixty-four".