56960 has 32 divisors (see below), whose sum is σ = 137700. Its totient is φ = 22528.

The previous prime is 56957. The next prime is 56963. The reversal of 56960 is 6965.

It is an interprime number because it is at equal distance from previous prime (56957) and next prime (56963).

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 3136 = 232^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 596 + ... + 684.

2⁵⁶⁹⁶⁰ 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 56960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68850).

56960 is an abundant number, since it is smaller than the sum of its proper divisors (80740).

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

56960 is an equidigital number, since it uses as much as digits as its factorization.

56960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 56960 is about 238.6629422428. The cubic root of 56960 is about 38.4760068643.

The spelling of 56960 in words is "fifty-six thousand, nine hundred sixty".