26808 has 16 divisors (see below), whose sum is σ = 67080. Its totient is φ = 8928.

The previous prime is 26801. The next prime is 26813. The reversal of 26808 is 80862.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1117 = 26808 / (2 + 6 + 8 + 0 + 8).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26801) 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, 535 + ... + 582.

2²⁶⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

26808 is an abundant number, since it is smaller than the sum of its proper divisors (40272).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33540).

26808 is a wasteful number, since it uses less digits than its factorization.

26808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 26808 is about 163.7314875032. The cubic root of 26808 is about 29.9287196601.

The spelling of 26808 in words is "twenty-six thousand, eight hundred eight".