26956 has 12 divisors (see below), whose sum is σ = 49392. Its totient is φ = 12848.

The previous prime is 26953. The next prime is 26959. The reversal of 26956 is 65962.

It is an interprime number because it is at equal distance from previous prime (26953) and next prime (26959).

It is not an unprimeable number, because it can be changed into a prime (26951) 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, 55 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

2²⁶⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

26956 is a deficient number, since it is larger than the sum of its proper divisors (22436).

26956 is a wasteful number, since it uses less digits than its factorization.

26956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 26956 is about 164.1828249239. The cubic root of 26956 is about 29.9836948434.

Subtracting from 26956 its product of digits (3240), we obtain a square (23716 = 154²).

It can be divided in two parts, 2695 and 6, that added together give a triangular number (2701 = T₇₃).

The spelling of 26956 in words is "twenty-six thousand, nine hundred fifty-six".