57930880 has 128 divisors (see below), whose sum is σ = 161470080. Its totient is φ = 19464192.

The previous prime is 57930869. The next prime is 57930889. The reversal of 57930880 is 8803975.

57930880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (57930889) by changing a digit.

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, 300064 + ... + 300256.

It is an arithmetic number, because the mean of its divisors is an integer number (1261485).

Almost surely, 2^57930880 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 57930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80735040).

57930880 is an abundant number, since it is smaller than the sum of its proper divisors (103539200).

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

57930880 is a wasteful number, since it uses less digits than its factorization.

57930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 57930880 is about 7611.2338027418. The cubic root of 57930880 is about 386.9338357020.

The spelling of 57930880 in words is "fifty-seven million, nine hundred thirty thousand, eight hundred eighty".