856510336 has 128 divisors (see below), whose sum is σ = 1963271520. Its totient is φ = 368640000.

The previous prime is 856510313. The next prime is 856510349. The reversal of 856510336 is 633015658.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 856510295 and 856510304.

It is a congruent number.

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, 2135736 + ... + 2136136.

Almost surely, 2^856510336 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 856510336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981635760).

856510336 is an abundant number, since it is smaller than the sum of its proper divisors (1106761184).

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

856510336 is a wasteful number, since it uses less digits than its factorization.

856510336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 856510336 is about 29266.1978398288. The cubic root of 856510336 is about 949.6805337638.

The spelling of 856510336 in words is "eight hundred fifty-six million, five hundred ten thousand, three hundred thirty-six".