25368960 has 128 divisors (see below), whose sum is σ = 82424160. Its totient is φ = 6635520.

The previous prime is 25368929. The next prime is 25368989. The reversal of 25368960 is 6986352.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 140070 + ... + 140250.

Almost surely, 2^25368960 is an apocalyptic number.

25368960 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 25368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212080).

25368960 is an abundant number, since it is smaller than the sum of its proper divisors (57055200).

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

25368960 is a wasteful number, since it uses less digits than its factorization.

25368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 25368960 is about 5036.7608638886. The cubic root of 25368960 is about 293.8332155969.

The spelling of 25368960 in words is "twenty-five million, three hundred sixty-eight thousand, nine hundred sixty".