255881688 has 64 divisors (see below), whose sum is σ = 699217920. Its totient is φ = 77683200.

The previous prime is 255881669. The next prime is 255881701. The reversal of 255881688 is 886188552.

255881688 = 417² + 418² + ... + 943².

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 255881688.

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 15 ways as a sum of consecutive naturals, for example, 2533 + ... + 22763.

It is an arithmetic number, because the mean of its divisors is an integer number (10925280).

Almost surely, 2^255881688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255881688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349608960).

255881688 is an abundant number, since it is smaller than the sum of its proper divisors (443336232).

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

255881688 is a wasteful number, since it uses less digits than its factorization.

255881688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20288 (or 20284 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 51.

The square root of 255881688 is about 15996.3023227245. The cubic root of 255881688 is about 634.8625887388.

The spelling of 255881688 in words is "two hundred fifty-five million, eight hundred eighty-one thousand, six hundred eighty-eight".