26856 has 24 divisors (see below), whose sum is σ = 72930. Its totient is φ = 8928.

The previous prime is 26849. The next prime is 26861. The reversal of 26856 is 65862.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 4356 = 150^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 115 + ... + 258.

2²⁶⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

26856 is an abundant number, since it is smaller than the sum of its proper divisors (46074).

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

26856 is a wasteful number, since it uses less digits than its factorization.

26856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 26856 is about 163.8780034050. The cubic root of 26856 is about 29.9465715699.

It can be divided in two parts, 2685 and 6, that multiplied together give a triangular number (16110 = T₁₇₉).

The spelling of 26856 in words is "twenty-six thousand, eight hundred fifty-six".