256986016 has 96 divisors (see below), whose sum is σ = 601679232. Its totient is φ = 105753600.

The previous prime is 256985999. The next prime is 256986031. The reversal of 256986016 is 610689652.

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, 836935 + ... + 837241.

It is an arithmetic number, because the mean of its divisors is an integer number (6267492).

Almost surely, 2^256986016 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 256986016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300839616).

256986016 is an abundant number, since it is smaller than the sum of its proper divisors (344693216).

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

256986016 is a wasteful number, since it uses less digits than its factorization.

256986016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 256986016 is about 16030.7833869715. The cubic root of 256986016 is about 635.7745862039.

The spelling of 256986016 in words is "two hundred fifty-six million, nine hundred eighty-six thousand, sixteen".