26568 has 40 divisors (see below), whose sum is σ = 76230. Its totient is φ = 8640.

The previous prime is 26561. The next prime is 26573. The reversal of 26568 is 86562.

26568 is a `hidden beast` number, since 2 + 656 + 8 = 666.

26568 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 163²-1.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 324 = 162^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (26561) by changing a digit.

26568 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 9 ways as a sum of consecutive naturals, for example, 628 + ... + 668.

2²⁶⁵⁶⁸ 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 26568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38115).

26568 is an abundant number, since it is smaller than the sum of its proper divisors (49662).

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

26568 is a wasteful number, since it uses less digits than its factorization.

26568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

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

The square root of 26568 is about 162.9969324865. The cubic root of 26568 is about 29.8391389996.

It can be divided in two parts, 265 and 68, that added together give a palindrome (333).

The spelling of 26568 in words is "twenty-six thousand, five hundred sixty-eight".