25532640 has 288 divisors, whose sum is σ = 106142400. Its totient is φ = 5455872.

The previous prime is 25532629. The next prime is 25532651. The reversal of 25532640 is 4623552.

It is an interprime number because it is at equal distance from previous prime (25532629) and next prime (25532651).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171286 + ... + 171434.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^25532640 is an apocalyptic number.

25532640 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 25532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

25532640 is an abundant number, since it is smaller than the sum of its proper divisors (80609760).

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

25532640 is a wasteful number, since it uses less digits than its factorization.

25532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 25532640 is about 5052.9832772334. The cubic root of 25532640 is about 294.4637966264.

The spelling of 25532640 in words is "twenty-five million, five hundred thirty-two thousand, six hundred forty".