255648 has 24 divisors (see below), whose sum is σ = 671328. Its totient is φ = 85184.

The previous prime is 255641. The next prime is 255649. The reversal of 255648 is 846552.

255648 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 255648.

It is not an unprimeable number, because it can be changed into a prime (255641) by changing a digit.

255648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1236 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (27972).

2²⁵⁵⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

255648 is an abundant number, since it is smaller than the sum of its proper divisors (415680).

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

255648 is a wasteful number, since it uses less digits than its factorization.

255648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2668 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 255648 is about 505.6164554284. The cubic root of 255648 is about 63.4669263773.

It can be divided in two parts, 255 and 648, that added together give a triangular number (903 = T₄₂).

The spelling of 255648 in words is "two hundred fifty-five thousand, six hundred forty-eight".