256160016 has 320 divisors, whose sum is σ = 914227200. Its totient is φ = 67060224.

The previous prime is 256159999. The next prime is 256160017. The reversal of 256160016 is 610061652.

It is a happy number.

256160016 is a `hidden beast` number, since 2 + 56 + 1 + 600 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (256160017) 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 63 ways as a sum of consecutive naturals, for example, 2016945 + ... + 2017071.

It is an arithmetic number, because the mean of its divisors is an integer number (2856960).

Almost surely, 2^256160016 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 256160016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457113600).

256160016 is an abundant number, since it is smaller than the sum of its proper divisors (658067184).

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

256160016 is a wasteful number, since it uses less digits than its factorization.

256160016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 256160016 is about 16004.9997188379. Note that the first 3 decimals coincide. The cubic root of 256160016 is about 635.0926898816.

The spelling of 256160016 in words is "two hundred fifty-six million, one hundred sixty thousand, sixteen".