25360 has 20 divisors (see below), whose sum is σ = 59148. Its totient is φ = 10112.

The previous prime is 25357. The next prime is 25367. The reversal of 25360 is 6352.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 20736 = 68^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (25367) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 79 + ... + 238.

2²⁵³⁶⁰ is an apocalyptic number.

25360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25360 is the 80-th decagonal number.

It is an amenable number.

25360 is an abundant number, since it is smaller than the sum of its proper divisors (33788).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29574).

25360 is a wasteful number, since it uses less digits than its factorization.

25360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 25360 is about 159.2482338992. The cubic root of 25360 is about 29.3798618782.

It can be divided in two parts, 253 and 60, that added together give a palindrome (313).

The spelling of 25360 in words is "twenty-five thousand, three hundred sixty".