25632640 has 96 divisors (see below), whose sum is σ = 67558680. Its totient is φ = 9292800.

The previous prime is 25632631. The next prime is 25632661. The reversal of 25632640 is 4623652.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 25632599 and 25632608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77275 + ... + 77605.

Almost surely, 2^25632640 is an apocalyptic number.

25632640 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 25632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33779340).

25632640 is an abundant number, since it is smaller than the sum of its proper divisors (41926040).

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

25632640 is a wasteful number, since it uses less digits than its factorization.

25632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 25632640 is about 5062.8687520022. The cubic root of 25632640 is about 294.8477237656.

It can be divided in two parts, 256 and 32640, that added together give a triangular number (32896 = T₂₅₆).

The spelling of 25632640 in words is "twenty-five million, six hundred thirty-two thousand, six hundred forty".