57308560 has 80 divisors (see below), whose sum is σ = 144187200. Its totient is φ = 21109248.

The previous prime is 57308543. The next prime is 57308561. The reversal of 57308560 is 6580375.

It is a happy number.

57308560 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57308561) 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, 55731 + ... + 56749.

It is an arithmetic number, because the mean of its divisors is an integer number (1802340).

Almost surely, 2^57308560 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 57308560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72093600).

57308560 is an abundant number, since it is smaller than the sum of its proper divisors (86878640).

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

57308560 is a wasteful number, since it uses less digits than its factorization.

57308560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 57308560 is about 7570.2417398654. The cubic root of 57308560 is about 385.5433044517.

The spelling of 57308560 in words is "fifty-seven million, three hundred eight thousand, five hundred sixty".