57580068 has 96 divisors (see below), whose sum is σ = 168039424. Its totient is φ = 14940288.

The previous prime is 57580049. The next prime is 57580087. The reversal of 57580068 is 86008575.

It is a happy number.

57580068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57580049) and next prime (57580087).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 72771 + ... + 73557.

Almost surely, 2^57580068 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 57580068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84019712).

57580068 is an abundant number, since it is smaller than the sum of its proper divisors (110459356).

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

57580068 is a wasteful number, since it uses less digits than its factorization.

57580068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 57580068 is about 7588.1531349861. The cubic root of 57580068 is about 386.1512020955.

The spelling of 57580068 in words is "fifty-seven million, five hundred eighty thousand, sixty-eight".