25635960 has 128 divisors (see below), whose sum is σ = 97689600. Its totient is φ = 5857920.

The previous prime is 25635937. The next prime is 25635989. The reversal of 25635960 is 6953652.

25635960 is a `hidden beast` number, since 2 + 5 + 63 + 596 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5865 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (763200).

Almost surely, 2^25635960 is an apocalyptic number.

25635960 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 25635960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48844800).

25635960 is an abundant number, since it is smaller than the sum of its proper divisors (72053640).

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

25635960 is a wasteful number, since it uses less digits than its factorization.

25635960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 25635960 is about 5063.1966187380. The cubic root of 25635960 is about 294.8604530070.

The spelling of 25635960 in words is "twenty-five million, six hundred thirty-five thousand, nine hundred sixty".