57649056 has 48 divisors (see below), whose sum is σ = 151772544. Its totient is φ = 19160064.

The previous prime is 57649027. The next prime is 57649069. The reversal of 57649056 is 65094675.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×57649056² = 6646827315382272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57648999 and 57649017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43800 + ... + 45096.

It is an arithmetic number, because the mean of its divisors is an integer number (3161928).

Almost surely, 2^57649056 is an apocalyptic number.

It is an amenable number.

57649056 is an abundant number, since it is smaller than the sum of its proper divisors (94123488).

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

57649056 is a wasteful number, since it uses less digits than its factorization.

57649056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 57649056 is about 7592.6975443514. The cubic root of 57649056 is about 386.3053594158.

The spelling of 57649056 in words is "fifty-seven million, six hundred forty-nine thousand, fifty-six".