831394272 has 96 divisors (see below), whose sum is σ = 2265943680. Its totient is φ = 266595840.

The previous prime is 831394261. The next prime is 831394273. The reversal of 831394272 is 272493138.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) 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 831394272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831394273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455747 + ... + 1456317.

It is an arithmetic number, because the mean of its divisors is an integer number (23603580).

Almost surely, 2^831394272 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 831394272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132971840).

831394272 is an abundant number, since it is smaller than the sum of its proper divisors (1434549408).

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

831394272 is a wasteful number, since it uses less digits than its factorization.

831394272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1128 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 831394272 is about 28833.9083719152. The cubic root of 831394272 is about 940.3055713962.

The spelling of 831394272 in words is "eight hundred thirty-one million, three hundred ninety-four thousand, two hundred seventy-two".