25832640 has 112 divisors (see below), whose sum is σ = 83393280. Its totient is φ = 6773760.

The previous prime is 25832629. The next prime is 25832663. The reversal of 25832640 is 4623852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25832598 and 25832607.

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, 67971 + ... + 68349.

Almost surely, 2^25832640 is an apocalyptic number.

25832640 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 25832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696640).

25832640 is an abundant number, since it is smaller than the sum of its proper divisors (57560640).

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

25832640 is a wasteful number, since it uses less digits than its factorization.

25832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 25832640 is about 5082.5820209811. The cubic root of 25832640 is about 295.6125927655.

The spelling of 25832640 in words is "twenty-five million, eight hundred thirty-two thousand, six hundred forty".