26338000 has 80 divisors (see below), whose sum is σ = 68651856. Its totient is φ = 9715200.

The previous prime is 26337959. The next prime is 26338007. The reversal of 26338000 is 83362.

It can be written as a sum of positive squares in 8 ways, for example, as 22353984 + 3984016 = 4728^2 + 1996^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26338007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25494 + ... + 26506.

Almost surely, 2^26338000 is an apocalyptic number.

26338000 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 26338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34325928).

26338000 is an abundant number, since it is smaller than the sum of its proper divisors (42313856).

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

26338000 is a wasteful number, since it uses less digits than its factorization.

26338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 26338000 is about 5132.0561181655. The cubic root of 26338000 is about 297.5278320594.

The spelling of 26338000 in words is "twenty-six million, three hundred thirty-eight thousand".