255908160 has 196 divisors, whose sum is σ = 914486868. Its totient is φ = 68179968.

The previous prime is 255908153. The next prime is 255908161. The reversal of 255908160 is 61809552.

It is a happy number.

255908160 is a `hidden beast` number, since 2 + 5 + 590 + 8 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 173606976 = 9072^2 + 13176^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255908161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 232732 + ... + 233828.

Almost surely, 2^255908160 is an apocalyptic number.

255908160 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 255908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457243434).

255908160 is an abundant number, since it is smaller than the sum of its proper divisors (658578708).

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

255908160 is an equidigital number, since it uses as much as digits as its factorization.

255908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 255908160 is about 15997.1297425507. The cubic root of 255908160 is about 634.8844810218.

The spelling of 255908160 in words is "two hundred fifty-five million, nine hundred eight thousand, one hundred sixty".