830632832 has 64 divisors (see below), whose sum is σ = 1714122240. Its totient is φ = 400619520.

The previous prime is 830632813. The next prime is 830632843. The reversal of 830632832 is 238236038.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 830632792 and 830632801.

It is a congruent number.

It is an unprimeable number.

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, 600782 + ... + 602162.

It is an arithmetic number, because the mean of its divisors is an integer number (26783160).

Almost surely, 2^830632832 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 830632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857061120).

830632832 is an abundant number, since it is smaller than the sum of its proper divisors (883489408).

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

830632832 is a wasteful number, since it uses less digits than its factorization.

830632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 830632832 is about 28820.7014487850. The cubic root of 830632832 is about 940.0184212476.

The spelling of 830632832 in words is "eight hundred thirty million, six hundred thirty-two thousand, eight hundred thirty-two".