57980880 has 160 divisors (see below), whose sum is σ = 211593600. Its totient is φ = 14542848.

The previous prime is 57980873. The next prime is 57980917. The reversal of 57980880 is 8808975.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35931 + ... + 37509.

It is an arithmetic number, because the mean of its divisors is an integer number (1322460).

Almost surely, 2^57980880 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 57980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105796800).

57980880 is an abundant number, since it is smaller than the sum of its proper divisors (153612720).

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

57980880 is a wasteful number, since it uses less digits than its factorization.

57980880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 57980880 is about 7614.5177128955. The cubic root of 57980880 is about 387.0451242377.

The spelling of 57980880 in words is "fifty-seven million, nine hundred eighty thousand, eight hundred eighty".