25620 has 48 divisors (see below), whose sum is σ = 83328. Its totient is φ = 5760.

The previous prime is 25609. The next prime is 25621. The reversal of 25620 is 2652.

25620 = T₇₆ + T₇₇ + ... + T₈₃.

25620 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25621) 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 15 ways as a sum of consecutive naturals, for example, 390 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

2²⁵⁶²⁰ is an apocalyptic number.

25620 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 25620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

25620 is an abundant number, since it is smaller than the sum of its proper divisors (57708).

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

25620 is a wasteful number, since it uses less digits than its factorization.

25620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 25620 is about 160.0624877977. The cubic root of 25620 is about 29.4799250569.

It can be divided in two parts, 256 and 20, that added together give a triangular number (276 = T₂₃).

The spelling of 25620 in words is "twenty-five thousand, six hundred twenty".