57655675 has 48 divisors (see below), whose sum is σ = 90779904. Its totient is φ = 35280000.

The previous prime is 57655669. The next prime is 57655693.

57655675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57655675 - 2³ = 57655667 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117180 + ... + 117670.

It is an arithmetic number, because the mean of its divisors is an integer number (1891248).

Almost surely, 2^57655675 is an apocalyptic number.

57655675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57655675 is a deficient number, since it is larger than the sum of its proper divisors (33124229).

57655675 is a wasteful number, since it uses less digits than its factorization.

57655675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its digits is 1102500, while the sum is 46.

The square root of 57655675 is about 7593.1334111814. The cubic root of 57655675 is about 386.3201434527.

The spelling of 57655675 in words is "fifty-seven million, six hundred fifty-five thousand, six hundred seventy-five".