57003984 has 60 divisors (see below), whose sum is σ = 160052256. Its totient is φ = 18939456.

The previous prime is 57003967. The next prime is 57004001. The reversal of 57003984 is 48930075.

57003984 is a `hidden beast` number, since 570 + 0 + 3 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (57003967) and next prime (57004001).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72039 + ... + 72825.

Almost surely, 2^57003984 is an apocalyptic number.

It is an amenable number.

57003984 is an abundant number, since it is smaller than the sum of its proper divisors (103048272).

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

57003984 is a wasteful number, since it uses less digits than its factorization.

57003984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57003984 is about 7550.0982775061. The cubic root of 57003984 is about 384.8590792512.

The spelling of 57003984 in words is "fifty-seven million, three thousand, nine hundred eighty-four".