25688 has 24 divisors (see below), whose sum is σ = 54900. Its totient is φ = 11232.

The previous prime is 25679. The next prime is 25693. The reversal of 25688 is 88652.

It is a happy number.

It is a plaindrome in base 10.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 25688.

It is a congruent number.

It is an unprimeable number.

25688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1343 + ... + 1361.

2²⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27450).

25688 is an abundant number, since it is smaller than the sum of its proper divisors (29212).

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

25688 is a wasteful number, since it uses less digits than its factorization.

25688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 34 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 25688 is about 160.2747640772. The cubic root of 25688 is about 29.5059836565.

The spelling of 25688 in words is "twenty-five thousand, six hundred eighty-eight".