26813800 has 48 divisors (see below), whose sum is σ = 67144140. Its totient is φ = 9899520.

The previous prime is 26813797. The next prime is 26813819. The reversal of 26813800 is 831862.

It can be written as a sum of positive squares in 6 ways, for example, as 4137156 + 22676644 = 2034^2 + 4762^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2557 + ... + 7756.

Almost surely, 2^26813800 is an apocalyptic number.

26813800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26813800 is an abundant number, since it is smaller than the sum of its proper divisors (40330340).

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

26813800 is a wasteful number, since it uses less digits than its factorization.

26813800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 26813800 is about 5178.2043219634. The cubic root of 26813800 is about 299.3087789718.

The spelling of 26813800 in words is "twenty-six million, eight hundred thirteen thousand, eight hundred".