26560800 has 432 divisors, whose sum is σ = 116992512. Its totient is φ = 5529600.

The previous prime is 26560777. The next prime is 26560801. The reversal of 26560800 is 806562.

26560800 is a `hidden beast` number, since 2 + 656 + 0 + 8 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (26560801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856785 + ... + 856815.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^26560800 is an apocalyptic number.

26560800 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 26560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

26560800 is an abundant number, since it is smaller than the sum of its proper divisors (90431712).

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

26560800 is a wasteful number, since it uses less digits than its factorization.

26560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 26560800 is about 5153.7171051582. The cubic root of 26560800 is about 298.3644326023.

The spelling of 26560800 in words is "twenty-six million, five hundred sixty thousand, eight hundred".