25648 has 20 divisors (see below), whose sum is σ = 57040. Its totient is φ = 10944.

The previous prime is 25643. The next prime is 25657. The reversal of 25648 is 84652.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (25643) 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, 3 + ... + 226.

It is an arithmetic number, because the mean of its divisors is an integer number (2852).

2²⁵⁶⁴⁸ is an apocalyptic number.

25648 is a gapful number since it is divisible by the number (28) 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 25648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28520).

25648 is an abundant number, since it is smaller than the sum of its proper divisors (31392).

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

25648 is a wasteful number, since it uses less digits than its factorization.

25648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 25648 is about 160.1499297533. The cubic root of 25648 is about 29.4906606460.

The spelling of 25648 in words is "twenty-five thousand, six hundred forty-eight".