56616960 has 192 divisors, whose sum is σ = 192628800. Its totient is φ = 14155776.

The previous prime is 56616929. The next prime is 56616983. The reversal of 56616960 is 6961665.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583632 + ... + 583728.

It is an arithmetic number, because the mean of its divisors is an integer number (1003275).

Almost surely, 2^56616960 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 56616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96314400).

56616960 is an abundant number, since it is smaller than the sum of its proper divisors (136011840).

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

56616960 is a wasteful number, since it uses less digits than its factorization.

56616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 56616960 is about 7524.4242304644. The cubic root of 56616960 is about 383.9861106087.

It can be divided in two parts, 5661 and 6960, that added together give a palindrome (12621).

The spelling of 56616960 in words is "fifty-six million, six hundred sixteen thousand, nine hundred sixty".