57919264 has 48 divisors (see below), whose sum is σ = 127060920. Its totient is φ = 25804800.

The previous prime is 57919259. The next prime is 57919271. The reversal of 57919264 is 46291975.

It is a happy number.

57919264 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 4 ways, for example, as 42771600 + 15147664 = 6540^2 + 3892^2 .

It is a super-2 number, since 2×57919264² = 6709282284603392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57919264.

It is an unprimeable number.

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, 9664 + ... + 14464.

Almost surely, 2^57919264 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 57919264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63530460).

57919264 is an abundant number, since it is smaller than the sum of its proper divisors (69141656).

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

57919264 is a wasteful number, since it uses less digits than its factorization.

57919264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4845 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 57919264 is about 7610.4706818961. The cubic root of 57919264 is about 386.9079719837.

The spelling of 57919264 in words is "fifty-seven million, nine hundred nineteen thousand, two hundred sixty-four".