26800840 has 64 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 9169920.

The previous prime is 26800817. The next prime is 26800841. The reversal of 26800840 is 4800862.

It is a junction number, because it is equal to n+sod(n) for n = 26800799 and 26800808.

It is not an unprimeable number, because it can be changed into a prime (26800841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5689 + ... + 9271.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^26800840 is an apocalyptic number.

26800840 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 26800840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

26800840 is an abundant number, since it is smaller than the sum of its proper divisors (42872120).

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

26800840 is a wasteful number, since it uses less digits than its factorization.

26800840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 26800840 is about 5176.9527716602. The cubic root of 26800840 is about 299.2605492431.

The spelling of 26800840 in words is "twenty-six million, eight hundred thousand, eight hundred forty".