255648960 has 280 divisors, whose sum is σ = 1040038560. Its totient is φ = 58392576.

The previous prime is 255648931. The next prime is 255648961. The reversal of 255648960 is 69846552.

255648960 is a `hidden beast` number, since 2 + 5 + 564 + 89 + 6 + 0 = 666.

255648960 is digitally balanced in base 2, because in such base 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 (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (255648961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180736 + ... + 182144.

Almost surely, 2^255648960 is an apocalyptic number.

255648960 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 255648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520019280).

255648960 is an abundant number, since it is smaller than the sum of its proper divisors (784389600).

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

255648960 is a wasteful number, since it uses less digits than its factorization.

255648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 255648960 is about 15989.0262367663. The cubic root of 255648960 is about 634.6700582012.

The spelling of 255648960 in words is "two hundred fifty-five million, six hundred forty-eight thousand, nine hundred sixty".