26804520 has 80 divisors (see below), whose sum is σ = 90103860. Its totient is φ = 7147008.

The previous prime is 26804509. The next prime is 26804521. The reversal of 26804520 is 2540862.

It can be written as a sum of positive squares in 2 ways, for example, as 26687556 + 116964 = 5166^2 + 342^2 .

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

It is not an unprimeable number, because it can be changed into a prime (26804521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 897 + ... + 7376.

Almost surely, 2^26804520 is an apocalyptic number.

26804520 is a gapful number since it is divisible by the number (20) 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 26804520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45051930).

26804520 is an abundant number, since it is smaller than the sum of its proper divisors (63299340).

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

26804520 is a wasteful number, since it uses less digits than its factorization.

26804520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26804520 is about 5177.3081808986. The cubic root of 26804520 is about 299.2742456847.

It can be divided in two parts, 26 and 804520, that added together give a triangular number (804546 = T₁₂₆₈).

The spelling of 26804520 in words is "twenty-six million, eight hundred four thousand, five hundred twenty".