856531944 has 96 divisors (see below), whose sum is σ = 2522749320. Its totient is φ = 261439488.

The previous prime is 856531939. The next prime is 856532011. The reversal of 856531944 is 449135658.

856531944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 787475844 + 69056100 = 28062^2 + 8310^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 856531944.

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, 35832 + ... + 54744.

Almost surely, 2^856531944 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 856531944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261374660).

856531944 is an abundant number, since it is smaller than the sum of its proper divisors (1666217376).

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

856531944 is a wasteful number, since it uses less digits than its factorization.

856531944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18979 (or 18972 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 856531944 is about 29266.5670005896. The cubic root of 856531944 is about 949.6885198610.

The spelling of 856531944 in words is "eight hundred fifty-six million, five hundred thirty-one thousand, nine hundred forty-four".