25088640 has 128 divisors (see below), whose sum is σ = 81518400. Its totient is φ = 6561792.

The previous prime is 25088621. The next prime is 25088669. The reversal of 25088640 is 4688052.

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

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, 140071 + ... + 140249.

Almost surely, 2^25088640 is an apocalyptic number.

25088640 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 25088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40759200).

25088640 is an abundant number, since it is smaller than the sum of its proper divisors (56429760).

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

25088640 is a wasteful number, since it uses less digits than its factorization.

25088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 25088640 is about 5008.8561568486. The cubic root of 25088640 is about 292.7469461043.

The spelling of 25088640 in words is "twenty-five million, eighty-eight thousand, six hundred forty".