831384320 has 144 divisors (see below), whose sum is σ = 2271538080. Its totient is φ = 288817152.

The previous prime is 831384287. The next prime is 831384331. The reversal of 831384320 is 23483138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 281411 + ... + 284349.

It is an arithmetic number, because the mean of its divisors is an integer number (15774570).

Almost surely, 2^831384320 is an apocalyptic number.

831384320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135769040).

831384320 is an abundant number, since it is smaller than the sum of its proper divisors (1440153760).

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

831384320 is a wasteful number, since it uses less digits than its factorization.

831384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 831384320 is about 28833.7357968058. The cubic root of 831384320 is about 940.3018194826.

The spelling of 831384320 in words is "eight hundred thirty-one million, three hundred eighty-four thousand, three hundred twenty".