25680 has 40 divisors (see below), whose sum is σ = 80352. Its totient is φ = 6784.

The previous prime is 25679. The next prime is 25693. The reversal of 25680 is 8652.

25680 = T₇₁ + T₇₂ + ... + T₇₉.

It is a happy number.

25680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

25680 is strictly pandigital in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 293.

2²⁵⁶⁸⁰ is an apocalyptic number.

25680 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 25680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176).

25680 is an abundant number, since it is smaller than the sum of its proper divisors (54672).

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

25680 is a wasteful number, since it uses less digits than its factorization.

25680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 25680 is about 160.2498049921. The cubic root of 25680 is about 29.5029203276.

Subtracting from 25680 its product of nonzero digits (480), we obtain a triangular number (25200 = T₂₂₄).

The spelling of 25680 in words is "twenty-five thousand, six hundred eighty".