830336832 has 294 divisors, whose sum is σ = 2734299078. Its totient is φ = 248583168.

The previous prime is 830336813. The next prime is 830336851. The reversal of 830336832 is 238633038.

It is an interprime number because it is at equal distance from previous prime (830336813) and next prime (830336851).

It can be written as a sum of positive squares in 3 ways, for example, as 306110016 + 524226816 = 17496^2 + 22896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 22441518 + ... + 22441554.

It is an arithmetic number, because the mean of its divisors is an integer number (9300337).

Almost surely, 2^830336832 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 830336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367149539).

830336832 is an abundant number, since it is smaller than the sum of its proper divisors (1903962246).

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

830336832 is an equidigital number, since it uses as much as digits as its factorization.

830336832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 830336832 is about 28815.5657935082. The cubic root of 830336832 is about 939.9067479547.

The spelling of 830336832 in words is "eight hundred thirty million, three hundred thirty-six thousand, eight hundred thirty-two".