25656 has 16 divisors (see below), whose sum is σ = 64200. Its totient is φ = 8544.

The previous prime is 25643. The next prime is 25657. The reversal of 25656 is 65652.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1069 = 25656 / (2 + 5 + 6 + 5 + 6).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25657) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 511 + ... + 558.

2²⁵⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

25656 is an abundant number, since it is smaller than the sum of its proper divisors (38544).

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 (32100).

25656 is a wasteful number, since it uses less digits than its factorization.

25656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 25656 is about 160.1749044014. The cubic root of 25656 is about 29.4937265220.

The spelling of 25656 in words is "twenty-five thousand, six hundred fifty-six".