831361806 has 128 divisors (see below), whose sum is σ = 2099934720. Its totient is φ = 244594080.

The previous prime is 831361801. The next prime is 831361831. The reversal of 831361806 is 608163138.

831361806 is a `hidden beast` number, since 8 + 31 + 3 + 618 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831361801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1779985 + ... + 1780451.

It is an arithmetic number, because the mean of its divisors is an integer number (16405740).

Almost surely, 2^831361806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831361806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049967360).

831361806 is an abundant number, since it is smaller than the sum of its proper divisors (1268572914).

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

831361806 is a wasteful number, since it uses less digits than its factorization.

831361806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 831361806 is about 28833.3453834272. The cubic root of 831361806 is about 940.2933315725.

It can be divided in two parts, 83 and 1361806, that added together give a square (1361889 = 1167²).

The spelling of 831361806 in words is "eight hundred thirty-one million, three hundred sixty-one thousand, eight hundred six".