831386920 has 192 divisors, whose sum is σ = 2383274880. Its totient is φ = 258660864.

The previous prime is 831386891. The next prime is 831386981. The reversal of 831386920 is 29683138.

831386920 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1706917 + ... + 1707403.

It is an arithmetic number, because the mean of its divisors is an integer number (12412890).

Almost surely, 2^831386920 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 831386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191637440).

831386920 is an abundant number, since it is smaller than the sum of its proper divisors (1551887960).

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

831386920 is a wasteful number, since it uses less digits than its factorization.

831386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 831386920 is about 28833.7808828464. The cubic root of 831386920 is about 940.3027996880.

The spelling of 831386920 in words is "eight hundred thirty-one million, three hundred eighty-six thousand, nine hundred twenty".