255977568 has 432 divisors, whose sum is σ = 988185744. Its totient is φ = 61931520.

The previous prime is 255977549. The next prime is 255977573. The reversal of 255977568 is 865779552.

255977568 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 77 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2638896 + ... + 2638992.

It is an arithmetic number, because the mean of its divisors is an integer number (2287467).

Almost surely, 2^255977568 is an apocalyptic number.

255977568 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 255977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494092872).

255977568 is an abundant number, since it is smaller than the sum of its proper divisors (732208176).

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

255977568 is a wasteful number, since it uses less digits than its factorization.

255977568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The square root of 255977568 is about 15999.2989846430. The cubic root of 255977568 is about 634.9418741099.

The spelling of 255977568 in words is "two hundred fifty-five million, nine hundred seventy-seven thousand, five hundred sixty-eight".