26808264 has 96 divisors (see below), whose sum is σ = 84976320. Its totient is φ = 7475328.

The previous prime is 26808263. The next prime is 26808277. The reversal of 26808264 is 46280862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26808263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21054 + ... + 22290.

It is an arithmetic number, because the mean of its divisors is an integer number (885170).

Almost surely, 2^26808264 is an apocalyptic number.

26808264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26808264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42488160).

26808264 is an abundant number, since it is smaller than the sum of its proper divisors (58168056).

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

26808264 is a wasteful number, since it uses less digits than its factorization.

26808264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26808264 is about 5177.6697461310. The cubic root of 26808264 is about 299.2881790389.

It can be divided in two parts, 26808 and 264, that added together give a palindrome (27072).

The spelling of 26808264 in words is "twenty-six million, eight hundred eight thousand, two hundred sixty-four".