25380 has 48 divisors (see below), whose sum is σ = 80640. Its totient is φ = 6624.

The previous prime is 25373. The next prime is 25391. The reversal of 25380 is 8352.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

25380 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 15 ways as a sum of consecutive naturals, for example, 517 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2²⁵³⁸⁰ is an apocalyptic number.

25380 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 25380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

25380 is an abundant number, since it is smaller than the sum of its proper divisors (55260).

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

25380 is a wasteful number, since it uses less digits than its factorization.

25380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25380 is about 159.3110165682. The cubic root of 25380 is about 29.3875832615.

It can be divided in two parts, 253 and 80, that added together give a palindrome (333).

The spelling of 25380 in words is "twenty-five thousand, three hundred eighty".