834206256 has 160 divisors (see below), whose sum is σ = 2609208000. Its totient is φ = 253642752.

The previous prime is 834206207. The next prime is 834206291. The reversal of 834206256 is 652602438.

834206256 is a `hidden beast` number, since 8 + 3 + 4 + 20 + 625 + 6 = 666.

834206256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 834206256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498990 + ... + 500658.

It is an arithmetic number, because the mean of its divisors is an integer number (16307550).

Almost surely, 2^834206256 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 834206256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304604000).

834206256 is an abundant number, since it is smaller than the sum of its proper divisors (1775001744).

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

834206256 is a wasteful number, since it uses less digits than its factorization.

834206256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 834206256 is about 28882.6289662143. The cubic root of 834206256 is about 941.3644948894.

It can be divided in two parts, 83420 and 6256, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 834206256 in words is "eight hundred thirty-four million, two hundred six thousand, two hundred fifty-six".