57555680 has 192 divisors, whose sum is σ = 172730880. Its totient is φ = 17639424.

The previous prime is 57555607. The next prime is 57555703. The reversal of 57555680 is 8655575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859007 + ... + 859073.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 2^57555680 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 57555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

57555680 is an abundant number, since it is smaller than the sum of its proper divisors (115175200).

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

57555680 is a wasteful number, since it uses less digits than its factorization.

57555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 41.

The square root of 57555680 is about 7586.5459861521. The cubic root of 57555680 is about 386.0966763673.

The spelling of 57555680 in words is "fifty-seven million, five hundred fifty-five thousand, six hundred eighty".