57552656 has 40 divisors (see below), whose sum is σ = 130051200. Its totient is φ = 24663072.

The previous prime is 57552641. The next prime is 57552659. The reversal of 57552656 is 65625575.

57552656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57552659) 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 7 ways as a sum of consecutive naturals, for example, 245 + ... + 10731.

It is an arithmetic number, because the mean of its divisors is an integer number (3251280).

Almost surely, 2^57552656 is an apocalyptic number.

57552656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57552656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65025600).

57552656 is an abundant number, since it is smaller than the sum of its proper divisors (72498544).

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

57552656 is a wasteful number, since it uses less digits than its factorization.

57552656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516 (or 10496 counting only the distinct ones).

The product of its digits is 315000, while the sum is 41.

The square root of 57552656 is about 7586.3466833516. The cubic root of 57552656 is about 386.0899143541.

The spelling of 57552656 in words is "fifty-seven million, five hundred fifty-two thousand, six hundred fifty-six".