57677004 has 72 divisors (see below), whose sum is σ = 181778688. Its totient is φ = 14980320.

The previous prime is 57677003. The next prime is 57677057. The reversal of 57677004 is 40077675.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57677004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57677003) 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 23 ways as a sum of consecutive naturals, for example, 7632 + ... + 13175.

It is an arithmetic number, because the mean of its divisors is an integer number (2524704).

Almost surely, 2^57677004 is an apocalyptic number.

It is an amenable number.

57677004 is an abundant number, since it is smaller than the sum of its proper divisors (124101684).

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

57677004 is a wasteful number, since it uses less digits than its factorization.

57677004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20835 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 57677004 is about 7594.5377739531. The cubic root of 57677004 is about 386.3677756906.

The spelling of 57677004 in words is "fifty-seven million, six hundred seventy-seven thousand, four".