25200864 has 144 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 7547904.

The previous prime is 25200853. The next prime is 25200871. The reversal of 25200864 is 46800252.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198369 + ... + 198495.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 2^25200864 is an apocalyptic number.

25200864 is a gapful number since it is divisible by the number (24) 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 25200864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

25200864 is an abundant number, since it is smaller than the sum of its proper divisors (54052128).

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

25200864 is a wasteful number, since it uses less digits than its factorization.

25200864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25200864 is about 5020.0462149267. The cubic root of 25200864 is about 293.1827923595.

The spelling of 25200864 in words is "twenty-five million, two hundred thousand, eight hundred sixty-four".