25848800 has 72 divisors (see below), whose sum is σ = 64058400. Its totient is φ = 10183680.

The previous prime is 25848763. The next prime is 25848817. The reversal of 25848800 is 884852.

It is a super-2 number, since 2×25848800² = 1336320922880000, which contains 22 as substring.

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, 62996 + ... + 63404.

It is an arithmetic number, because the mean of its divisors is an integer number (889700).

Almost surely, 2^25848800 is an apocalyptic number.

25848800 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 25848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32029200).

25848800 is an abundant number, since it is smaller than the sum of its proper divisors (38209600).

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

25848800 is a wasteful number, since it uses less digits than its factorization.

25848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 25848800 is about 5084.1715155962. The cubic root of 25848800 is about 295.6742215643.

The spelling of 25848800 in words is "twenty-five million, eight hundred forty-eight thousand, eight hundred".