26009568 has 72 divisors (see below), whose sum is σ = 79665768. Its totient is φ = 8001792.

The previous prime is 26009551. The next prime is 26009569. The reversal of 26009568 is 86590062.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26009569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271 + ... + 7217.

It is an arithmetic number, because the mean of its divisors is an integer number (1106469).

Almost surely, 2^26009568 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 26009568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39832884).

26009568 is an abundant number, since it is smaller than the sum of its proper divisors (53656200).

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

26009568 is a wasteful number, since it uses less digits than its factorization.

26009568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 26009568 is about 5099.9576468830. The cubic root of 26009568 is about 296.2859423357.

The spelling of 26009568 in words is "twenty-six million, nine thousand, five hundred sixty-eight".