255971968 has 64 divisors (see below), whose sum is σ = 608181120. Its totient is φ = 104924160.

The previous prime is 255971939. The next prime is 255971981. The reversal of 255971968 is 869179552.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14398 + ... + 26818.

It is an arithmetic number, because the mean of its divisors is an integer number (9502830).

Almost surely, 2^255971968 is an apocalyptic number.

255971968 is a gapful number since it is divisible by the number (28) 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 255971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304090560).

255971968 is an abundant number, since it is smaller than the sum of its proper divisors (352209152).

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

255971968 is a wasteful number, since it uses less digits than its factorization.

255971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12453 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 52.

The square root of 255971968 is about 15999.1239760182. The cubic root of 255971968 is about 634.9372438859.

The spelling of 255971968 in words is "two hundred fifty-five million, nine hundred seventy-one thousand, nine hundred sixty-eight".