25368800 has 72 divisors (see below), whose sum is σ = 65230200. Its totient is φ = 9607680.

The previous prime is 25368731. The next prime is 25368817. The reversal of 25368800 is 886352.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14366 + ... + 16034.

It is an arithmetic number, because the mean of its divisors is an integer number (905975).

Almost surely, 2^25368800 is an apocalyptic number.

25368800 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 25368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32615100).

25368800 is an abundant number, since it is smaller than the sum of its proper divisors (39861400).

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

25368800 is a wasteful number, since it uses less digits than its factorization.

25368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 25368800 is about 5036.7449806398. The cubic root of 25368800 is about 293.8325978681.

The spelling of 25368800 in words is "twenty-five million, three hundred sixty-eight thousand, eight hundred".