829841232 has 160 divisors (see below), whose sum is σ = 2439843840. Its totient is φ = 242774400.

The previous prime is 829841231. The next prime is 829841239. The reversal of 829841232 is 232148928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829841231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980319 + ... + 1980737.

It is an arithmetic number, because the mean of its divisors is an integer number (15249024).

Almost surely, 2^829841232 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 829841232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219921920).

829841232 is an abundant number, since it is smaller than the sum of its proper divisors (1610002608).

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

829841232 is a wasteful number, since it uses less digits than its factorization.

829841232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 466 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 829841232 is about 28806.9649911267. The cubic root of 829841232 is about 939.7197112109.

The spelling of 829841232 in words is "eight hundred twenty-nine million, eight hundred forty-one thousand, two hundred thirty-two".