26805680 has 80 divisors (see below), whose sum is σ = 68995584. Its totient is φ = 9603840.

The previous prime is 26805679. The next prime is 26805683. The reversal of 26805680 is 8650862.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26805680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26805683) 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, 72857 + ... + 73223.

Almost surely, 2^26805680 is an apocalyptic number.

26805680 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 26805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34497792).

26805680 is an abundant number, since it is smaller than the sum of its proper divisors (42189904).

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

26805680 is a wasteful number, since it uses less digits than its factorization.

26805680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 26805680 is about 5177.4202070143. The cubic root of 26805680 is about 299.2785627815.

The spelling of 26805680 in words is "twenty-six million, eight hundred five thousand, six hundred eighty".