57998080 has 72 divisors (see below), whose sum is σ = 158794272. Its totient is φ = 19881984.

The previous prime is 57998069. The next prime is 57998113. The reversal of 57998080 is 8089975.

57998080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57998080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5724 + ... + 12196.

It is an arithmetic number, because the mean of its divisors is an integer number (2205476).

Almost surely, 2^57998080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79397136).

57998080 is an abundant number, since it is smaller than the sum of its proper divisors (100796192).

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

57998080 is an equidigital number, since it uses as much as digits as its factorization.

57998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The square root of 57998080 is about 7615.6470506451. The cubic root of 57998080 is about 387.0833927035.

The spelling of 57998080 in words is "fifty-seven million, nine hundred ninety-eight thousand, eighty".