26656 has 36 divisors (see below), whose sum is σ = 64638. Its totient is φ = 10752.

The previous prime is 26647. The next prime is 26669. The reversal of 26656 is 65662.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 7056 = 140^2 + 84^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26656.

It is a congruent number.

It is an unprimeable number.

26656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1560 + ... + 1576.

2²⁶⁶⁵⁶ 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 26656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32319).

26656 is an abundant number, since it is smaller than the sum of its proper divisors (37982).

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

26656 is a wasteful number, since it uses less digits than its factorization.

26656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 26 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 26656 is about 163.2666530557. The cubic root of 26656 is about 29.8720476416.

The spelling of 26656 in words is "twenty-six thousand, six hundred fifty-six".