830832 has 40 divisors (see below), whose sum is σ = 2261760. Its totient is φ = 262080.

The previous prime is 830827. The next prime is 830833. The reversal of 830832 is 238038.

830832 is digitally balanced in base 2, because in such base 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830833) by changing a digit.

830832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (56544).

2⁸³⁰⁸³² is an apocalyptic number.

It is a pronic number, being equal to 911×912.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130880).

830832 is an abundant number, since it is smaller than the sum of its proper divisors (1430928).

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

830832 is a wasteful number, since it uses less digits than its factorization.

830832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 830832 is about 911.4998628634. The cubic root of 830832 is about 94.0093547352.

The spelling of 830832 in words is "eight hundred thirty thousand, eight hundred thirty-two".