830328 has 32 divisors (see below), whose sum is σ = 2149200. Its totient is φ = 267008.

The previous prime is 830327. The next prime is 830329. The reversal of 830328 is 823038.

It is an interprime number because it is at equal distance from previous prime (830327) and next prime (830329).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 830298 and 830307.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830328.

It is not an unprimeable number, because it can be changed into a prime (830327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 1292.

2⁸³⁰³²⁸ 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 830328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074600).

830328 is an abundant number, since it is smaller than the sum of its proper divisors (1318872).

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

830328 is a wasteful number, since it uses less digits than its factorization.

830328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1227 counting only the distinct ones).

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

The square root of 830328 is about 911.2233535199. The cubic root of 830328 is about 93.9903415457.

The spelling of 830328 in words is "eight hundred thirty thousand, three hundred twenty-eight".