32656 has 20 divisors (see below), whose sum is σ = 68572. Its totient is φ = 14976.

The previous prime is 32653. The next prime is 32687. The reversal of 32656 is 65623.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 25600 = 84^2 + 160^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (32653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130 + ... + 286.

2³²⁶⁵⁶ 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 32656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34286).

32656 is an abundant number, since it is smaller than the sum of its proper divisors (35916).

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

32656 is a wasteful number, since it uses less digits than its factorization.

32656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 32656 is about 180.7097119692. The cubic root of 32656 is about 31.9635000498.

The spelling of 32656 in words is "thirty-two thousand, six hundred fifty-six".