255216960 has 224 divisors, whose sum is σ = 911961600. Its totient is φ = 67184640.

The previous prime is 255216953. The next prime is 255216989. The reversal of 255216960 is 69612552.

255216960 is a `hidden beast` number, since 2 + 552 + 16 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941625 + ... + 941895.

Almost surely, 2^255216960 is an apocalyptic number.

255216960 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 255216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455980800).

255216960 is an abundant number, since it is smaller than the sum of its proper divisors (656744640).

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

255216960 is a wasteful number, since it uses less digits than its factorization.

255216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 255216960 is about 15975.5112594245. The cubic root of 255216960 is about 634.3123645277.

The spelling of 255216960 in words is "two hundred fifty-five million, two hundred sixteen thousand, nine hundred sixty".