26809920 has 224 divisors, whose sum is σ = 98755200. Its totient is φ = 6838272.

The previous prime is 26809919. The next prime is 26809921. The reversal of 26809920 is 2990862.

It is an interprime number because it is at equal distance from previous prime (26809919) and next prime (26809921).

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 (26809921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250507 + ... + 250613.

Almost surely, 2^26809920 is an apocalyptic number.

26809920 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 26809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49377600).

26809920 is an abundant number, since it is smaller than the sum of its proper divisors (71945280).

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

26809920 is a wasteful number, since it uses less digits than its factorization.

26809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 26809920 is about 5177.8296611611. The cubic root of 26809920 is about 299.2943414548.

The spelling of 26809920 in words is "twenty-six million, eight hundred nine thousand, nine hundred twenty".