57984000 has 176 divisors, whose sum is σ = 194153856. Its totient is φ = 15360000.

The previous prime is 57983941. The next prime is 57984001. The reversal of 57984000 is 48975.

It is not an unprimeable number, because it can be changed into a prime (57984001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383925 + ... + 384075.

Almost surely, 2^57984000 is an apocalyptic number.

57984000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97076928).

57984000 is an abundant number, since it is smaller than the sum of its proper divisors (136169856).

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

57984000 is a wasteful number, since it uses less digits than its factorization.

57984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 57984000 is about 7614.7225819461. The cubic root of 57984000 is about 387.0520665213.

The spelling of 57984000 in words is "fifty-seven million, nine hundred eighty-four thousand".