57668401 has 32 divisors (see below), whose sum is σ = 72990720. Its totient is φ = 44452800.

The previous prime is 57668393. The next prime is 57668407. The reversal of 57668401 is 10486675.

It is not a de Polignac number, because 57668401 - 2³ = 57668393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57668407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 292635 + ... + 292831.

It is an arithmetic number, because the mean of its divisors is an integer number (2280960).

Almost surely, 2^57668401 is an apocalyptic number.

It is an amenable number.

57668401 is a deficient number, since it is larger than the sum of its proper divisors (15322319).

57668401 is a wasteful number, since it uses less digits than its factorization.

57668401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 57668401 is about 7593.9713589136. The cubic root of 57668401 is about 386.3485647572.

The spelling of 57668401 in words is "fifty-seven million, six hundred sixty-eight thousand, four hundred one".