26685 has 12 divisors (see below), whose sum is σ = 46332. Its totient is φ = 14208.

The previous prime is 26683. The next prime is 26687. The reversal of 26685 is 58662.

26685 = T₆₈ + T₆₉ + ... + T₇₇.

26685 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (26683) and next prime (26687).

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 13689 = 114^2 + 117^2 .

It is not a de Polignac number, because 26685 - 2¹ = 26683 is a prime.

It is a super-4 number, since 4×26685⁴ = 2028284257444402500, which contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26681) 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, 252 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (3861).

2²⁶⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

26685 is a deficient number, since it is larger than the sum of its proper divisors (19647).

26685 is a wasteful number, since it uses less digits than its factorization.

26685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 601 counting only the distinct ones).

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

The square root of 26685 is about 163.3554406807. The cubic root of 26685 is about 29.8828766659.

It can be divided in two parts, 266 and 85, that added together give a triangular number (351 = T₂₆).

The spelling of 26685 in words is "twenty-six thousand, six hundred eighty-five".