831864 has 64 divisors (see below), whose sum is σ = 2384640. Its totient is φ = 239360.

The previous prime is 831863. The next prime is 831881. The reversal of 831864 is 468138.

It is a happy number.

831864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831863) 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, 6004 + ... + 6140.

It is an arithmetic number, because the mean of its divisors is an integer number (37260).

2⁸³¹⁸⁶⁴ 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 831864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192320).

831864 is an abundant number, since it is smaller than the sum of its proper divisors (1552776).

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

831864 is a wasteful number, since it uses less digits than its factorization.

831864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 831864 is about 912.0657871009. The cubic root of 831864 is about 94.0482625258.

The spelling of 831864 in words is "eight hundred thirty-one thousand, eight hundred sixty-four".