25987200 has 96 divisors (see below), whose sum is σ = 85626960. Its totient is φ = 6927360.

The previous prime is 25987183. The next prime is 25987201. The reversal of 25987200 is 278952.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (25987201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8247 + ... + 10953.

Almost surely, 2^25987200 is an apocalyptic number.

25987200 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 25987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42813480).

25987200 is an abundant number, since it is smaller than the sum of its proper divisors (59639760).

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

25987200 is a wasteful number, since it uses less digits than its factorization.

25987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 25987200 is about 5097.7642158107. The cubic root of 25987200 is about 296.2009835406.

The spelling of 25987200 in words is "twenty-five million, nine hundred eighty-seven thousand, two hundred".