26056800 has 432 divisors, whose sum is σ = 116992512. Its totient is φ = 5299200.

The previous prime is 26056799. The next prime is 26056813. The reversal of 26056800 is 865062.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554377 + ... + 554423.

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

Almost surely, 2^26056800 is an apocalyptic number.

26056800 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 26056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

26056800 is an abundant number, since it is smaller than the sum of its proper divisors (90935712).

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

26056800 is a wasteful number, since it uses less digits than its factorization.

26056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

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

The square root of 26056800 is about 5104.5861732368. The cubic root of 26056800 is about 296.4651804180.

The spelling of 26056800 in words is "twenty-six million, fifty-six thousand, eight hundred".