25088960 has 112 divisors (see below), whose sum is σ = 66482976. Its totient is φ = 8957952.

The previous prime is 25088927. The next prime is 25088993. The reversal of 25088960 is 6988052.

It is an interprime number because it is at equal distance from previous prime (25088927) and next prime (25088993).

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, 153839 + ... + 154001.

It is an arithmetic number, because the mean of its divisors is an integer number (593598).

Almost surely, 2^25088960 is an apocalyptic number.

25088960 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 25088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33241488).

25088960 is an abundant number, since it is smaller than the sum of its proper divisors (41394016).

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

25088960 is a wasteful number, since it uses less digits than its factorization.

25088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 25088960 is about 5008.8881001675. Note that the first 3 decimals coincide. The cubic root of 25088960 is about 292.7481907396.

The spelling of 25088960 in words is "twenty-five million, eighty-eight thousand, nine hundred sixty".