57649344 has 56 divisors (see below), whose sum is σ = 160568640. Its totient is φ = 18203904.

The previous prime is 57649289. The next prime is 57649357. The reversal of 57649344 is 44394675.

57649344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57649296 and 57649305.

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, 4254 + ... + 11549.

Almost surely, 2^57649344 is an apocalyptic number.

It is an amenable number.

57649344 is an abundant number, since it is smaller than the sum of its proper divisors (102919296).

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

57649344 is a wasteful number, since it uses less digits than its factorization.

57649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15837 (or 15827 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 57649344 is about 7592.7165099192. The cubic root of 57649344 is about 386.3060027091.

The spelling of 57649344 in words is "fifty-seven million, six hundred forty-nine thousand, three hundred forty-four".