56952 has 48 divisors (see below), whose sum is σ = 177840. Its totient is φ = 16128.

The previous prime is 56951. The next prime is 56957. The reversal of 56952 is 25965.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (3705).

2⁵⁶⁹⁵² 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 56952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88920).

56952 is an abundant number, since it is smaller than the sum of its proper divisors (120888).

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

56952 is a wasteful number, since it uses less digits than its factorization.

56952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 56952 is about 238.6461816162. The cubic root of 56952 is about 38.4742054688.

The spelling of 56952 in words is "fifty-six thousand, nine hundred fifty-two".