260816256 has 192 divisors, whose sum is σ = 801169200. Its totient is φ = 81285120.

The previous prime is 260816203. The next prime is 260816263. The reversal of 260816256 is 652618062.

260816256 is a `hidden beast` number, since 26 + 0 + 8 + 1 + 625 + 6 = 666.

260816256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 260816256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1235991 + ... + 1236201.

Almost surely, 2^260816256 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 260816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400584600).

260816256 is an abundant number, since it is smaller than the sum of its proper divisors (540352944).

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

260816256 is a wasteful number, since it uses less digits than its factorization.

260816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 260816256 is about 16149.8066861495. The cubic root of 260816256 is about 638.9176497578.

The spelling of 260816256 in words is "two hundred sixty million, eight hundred sixteen thousand, two hundred fifty-six".