26208800 has 54 divisors (see below), whose sum is σ = 64337679. Its totient is φ = 10425600.

The previous prime is 26208797. The next prime is 26208811. The reversal of 26208800 is 880262.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 35344 + 26173456 = 188^2 + 5116^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3620.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26208800.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144710 + ... + 144890.

Almost surely, 2^26208800 is an apocalyptic number.

26208800 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 26208800

26208800 is an abundant number, since it is smaller than the sum of its proper divisors (38128879).

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

26208800 is an equidigital number, since it uses as much as digits as its factorization.

26208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 26208800 is about 5119.4530957906. The cubic root of 26208800 is about 297.0405307707.

The spelling of 26208800 in words is "twenty-six million, two hundred eight thousand, eight hundred".