26813088 has 72 divisors (see below), whose sum is σ = 76864788. Its totient is φ = 8865792.

The previous prime is 26813053. The next prime is 26813089. The reversal of 26813088 is 88031862.

It can be written as a sum of positive squares in 2 ways, for example, as 26749584 + 63504 = 5172^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (26813089) 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, 44920 + ... + 45512.

Almost surely, 2^26813088 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 26813088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38432394).

26813088 is an abundant number, since it is smaller than the sum of its proper divisors (50051700).

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

26813088 is a wasteful number, since it uses less digits than its factorization.

26813088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 26813088 is about 5178.1355718057. The cubic root of 26813088 is about 299.3061297174.

The spelling of 26813088 in words is "twenty-six million, eight hundred thirteen thousand, eighty-eight".