57582080 has 80 divisors (see below), whose sum is σ = 140241024. Its totient is φ = 22671360.

The previous prime is 57582061. The next prime is 57582089. The reversal of 57582080 is 8028575.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57582080.

It is not an unprimeable number, because it can be changed into a prime (57582089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212345 + ... + 212615.

Almost surely, 2^57582080 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 57582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120512).

57582080 is an abundant number, since it is smaller than the sum of its proper divisors (82658944).

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

57582080 is an equidigital number, since it uses as much as digits as its factorization.

57582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 57582080 is about 7588.2857089069. The cubic root of 57582080 is about 386.1556997582.

The spelling of 57582080 in words is "fifty-seven million, five hundred eighty-two thousand, eighty".