25664 has 14 divisors (see below), whose sum is σ = 51054. Its totient is φ = 12800.

The previous prime is 25657. The next prime is 25667. The reversal of 25664 is 46652.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 64 = 160^2 + 8^2 .

It is a nialpdrome in base 8 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25664.

It is not an unprimeable number, because it can be changed into a prime (25667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 137 + ... + 264.

2²⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

25664 is a deficient number, since it is larger than the sum of its proper divisors (25390).

25664 is an equidigital number, since it uses as much as digits as its factorization.

25664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 25664 is about 160.1998751560. The cubic root of 25664 is about 29.4967917607.

It can be divided in two parts, 256 and 64, that multiplied together give a 14-th power (16384 = 2¹⁴).

The spelling of 25664 in words is "twenty-five thousand, six hundred sixty-four".