25488 has 40 divisors (see below), whose sum is σ = 74400. Its totient is φ = 8352.

The previous prime is 25471. The next prime is 25523. The reversal of 25488 is 88452.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2560) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

25488 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 7 ways as a sum of consecutive naturals, for example, 403 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2²⁵⁴⁸⁸ 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 25488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200).

25488 is an abundant number, since it is smaller than the sum of its proper divisors (48912).

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

25488 is a wasteful number, since it uses less digits than its factorization.

25488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 25488 is about 159.6496163478. The cubic root of 25488 is about 29.4292087891.

It can be divided in two parts, 2548 and 8, that added together give a triangular number (2556 = T₇₁).

The spelling of 25488 in words is "twenty-five thousand, four hundred eighty-eight".