56960960 has 112 divisors (see below), whose sum is σ = 158008320. Its totient is φ = 19153920.

The previous prime is 56960947. The next prime is 56960963. The reversal of 56960960 is 6906965.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56960963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131945 + ... + 132375.

Almost surely, 2^56960960 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 56960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

56960960 is an abundant number, since it is smaller than the sum of its proper divisors (101047360).

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

56960960 is a wasteful number, since it uses less digits than its factorization.

56960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 56960960 is about 7547.2485052501. The cubic root of 56960960 is about 384.7622302044.

The spelling of 56960960 in words is "fifty-six million, nine hundred sixty thousand, nine hundred sixty".