57600080 has 80 divisors (see below), whose sum is σ = 145396944. Its totient is φ = 21135360.

The previous prime is 57600047. The next prime is 57600089. The reversal of 57600080 is 8000675.

57600080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 506944 + 57093136 = 712^2 + 7556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57600089) 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, 55244 + ... + 56276.

Almost surely, 2^57600080 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 57600080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72698472).

57600080 is an abundant number, since it is smaller than the sum of its proper divisors (87796864).

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

57600080 is a wasteful number, since it uses less digits than its factorization.

57600080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 57600080 is about 7589.4716548650. The cubic root of 57600080 is about 386.1959326365.

The spelling of 57600080 in words is "fifty-seven million, six hundred thousand, eighty".