26800872 has 64 divisors (see below), whose sum is σ = 79228800. Its totient is φ = 7392000.

The previous prime is 26800859. The next prime is 26800877. The reversal of 26800872 is 27800862.

It is not an unprimeable number, because it can be changed into a prime (26800877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122 + ... + 7622.

It is an arithmetic number, because the mean of its divisors is an integer number (1237950).

Almost surely, 2^26800872 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 26800872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39614400).

26800872 is an abundant number, since it is smaller than the sum of its proper divisors (52427928).

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

26800872 is a wasteful number, since it uses less digits than its factorization.

26800872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 26800872 is about 5176.9558622805. The cubic root of 26800872 is about 299.2606683480.

It can be divided in two parts, 26800 and 872, that added together give a palindrome (27672).

The spelling of 26800872 in words is "twenty-six million, eight hundred thousand, eight hundred seventy-two".