57898560 has 112 divisors (see below), whose sum is σ = 188439552. Its totient is φ = 15052800.

The previous prime is 57898541. The next prime is 57898573. The reversal of 57898560 is 6589875.

57898560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 38625 + ... + 40095.

It is an arithmetic number, because the mean of its divisors is an integer number (1682496).

Almost surely, 2^57898560 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 57898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94219776).

57898560 is an abundant number, since it is smaller than the sum of its proper divisors (130540992).

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

57898560 is a wasteful number, since it uses less digits than its factorization.

57898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 57898560 is about 7609.1103290726. The cubic root of 57898560 is about 386.8618647143.

The spelling of 57898560 in words is "fifty-seven million, eight hundred ninety-eight thousand, five hundred sixty".