25608960 has 360 divisors, whose sum is σ = 103876080. Its totient is φ = 5971968.

The previous prime is 25608931. The next prime is 25608971. The reversal of 25608960 is 6980652.

25608960 = 191² + 192² + ... + 437².

25608960 is a `hidden beast` number, since 2 + 560 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347831 + ... + 1347849.

Almost surely, 2^25608960 is an apocalyptic number.

25608960 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 25608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51938040).

25608960 is an abundant number, since it is smaller than the sum of its proper divisors (78267120).

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

25608960 is a wasteful number, since it uses less digits than its factorization.

25608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 25608960 is about 5060.5296165520. The cubic root of 25608960 is about 294.7569001745.

The spelling of 25608960 in words is "twenty-five million, six hundred eight thousand, nine hundred sixty".