57688675 has 48 divisors (see below), whose sum is σ = 82566144. Its totient is φ = 39600000.

The previous prime is 57688663. The next prime is 57688679.

57688675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57688675 - 2¹⁷ = 57557603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57688679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571125 + ... + 571225.

It is an arithmetic number, because the mean of its divisors is an integer number (1720128).

Almost surely, 2^57688675 is an apocalyptic number.

57688675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57688675 is a deficient number, since it is larger than the sum of its proper divisors (24877469).

57688675 is a wasteful number, since it uses less digits than its factorization.

57688675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 52.

The square root of 57688675 is about 7595.3061162800. The cubic root of 57688675 is about 386.3938345695.

The spelling of 57688675 in words is "fifty-seven million, six hundred eighty-eight thousand, six hundred seventy-five".