255663600 has 120 divisors (see below), whose sum is σ = 823154160. Its totient is φ = 67829760.

The previous prime is 255663581. The next prime is 255663631. The reversal of 255663600 is 6366552.

255663600 is digitally balanced in base 3, 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 (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307986 + ... + 308814.

It is an arithmetic number, because the mean of its divisors is an integer number (6859618).

Almost surely, 2^255663600 is an apocalyptic number.

255663600 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 255663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411577080).

255663600 is an abundant number, since it is smaller than the sum of its proper divisors (567490560).

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

255663600 is a wasteful number, since it uses less digits than its factorization.

255663600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 255663600 is about 15989.4840442086. The cubic root of 255663600 is about 634.6821729807.

The spelling of 255663600 in words is "two hundred fifty-five million, six hundred sixty-three thousand, six hundred".