25320 has 32 divisors (see below), whose sum is σ = 76320. Its totient is φ = 6720.

The previous prime is 25309. The next prime is 25321. The reversal of 25320 is 2352.

It is a super-2 number, since 2×25320² = 1282204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 25296 and 25305.

It is not an unprimeable number, because it can be changed into a prime (25321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (2385).

2²⁵³²⁰ is an apocalyptic number.

25320 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 25320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38160).

25320 is an abundant number, since it is smaller than the sum of its proper divisors (51000).

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

25320 is a wasteful number, since it uses less digits than its factorization.

25320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 25320 is about 159.1225942473. The cubic root of 25320 is about 29.3644069244.

Adding to 25320 its reverse (2352), we get a palindrome (27672).

It can be divided in two parts, 25 and 320, that multiplied together give a cube (8000 = 20³).

The spelling of 25320 in words is "twenty-five thousand, three hundred twenty".