256683168 has 360 divisors, whose sum is σ = 917687232. Its totient is φ = 70108416.

The previous prime is 256683149. The next prime is 256683169. The reversal of 256683168 is 861386652.

256683168 is a `hidden beast` number, since 2 + 566 + 83 + 1 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (256683169) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5461321 + ... + 5461367.

Almost surely, 2^256683168 is an apocalyptic number.

256683168 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 256683168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458843616).

256683168 is an abundant number, since it is smaller than the sum of its proper divisors (661004064).

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

256683168 is a wasteful number, since it uses less digits than its factorization.

256683168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 256683168 is about 16021.3347758544. The cubic root of 256683168 is about 635.5247428476.

The spelling of 256683168 in words is "two hundred fifty-six million, six hundred eighty-three thousand, one hundred sixty-eight".