56088 has 48 divisors (see below), whose sum is σ = 163800. Its totient is φ = 17280.

The previous prime is 56087. The next prime is 56093. The reversal of 56088 is 88065.

56088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56081) 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, 1348 + ... + 1388.

2⁵⁶⁰⁸⁸ 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 56088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900).

56088 is an abundant number, since it is smaller than the sum of its proper divisors (107712).

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

56088 is a wasteful number, since it uses less digits than its factorization.

56088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56088 is about 236.8290522719. The cubic root of 56088 is about 38.2786533988.

The spelling of 56088 in words is "fifty-six thousand, eighty-eight".