26801008 has 40 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 12297984.

The previous prime is 26800981. The next prime is 26801023. The reversal of 26801008 is 80010862.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 55713 + ... + 56191.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^26801008 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 26801008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

26801008 is an abundant number, since it is smaller than the sum of its proper divisors (29445392).

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

26801008 is a wasteful number, since it uses less digits than its factorization.

26801008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 26801008 is about 5176.9689973961. The cubic root of 26801008 is about 299.2611745428.

The spelling of 26801008 in words is "twenty-six million, eight hundred one thousand, eight".