25863200 has 72 divisors (see below), whose sum is σ = 68901840. Its totient is φ = 9401600.

The previous prime is 25863191. The next prime is 25863203. The reversal of 25863200 is 236852.

It is a super-2 number, since 2×25863200² = 1337810228480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25863200.

It is not an unprimeable number, because it can be changed into a prime (25863203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7331 + ... + 10269.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 2^25863200 is an apocalyptic number.

25863200 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 25863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450920).

25863200 is an abundant number, since it is smaller than the sum of its proper divisors (43038640).

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

25863200 is a wasteful number, since it uses less digits than its factorization.

25863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 25863200 is about 5085.5874783549. The cubic root of 25863200 is about 295.7291166774.

The spelling of 25863200 in words is "twenty-five million, eight hundred sixty-three thousand, two hundred".