829081992 has 64 divisors (see below), whose sum is σ = 2147342400. Its totient is φ = 266562560.

The previous prime is 829081991. The next prime is 829081999. The reversal of 829081992 is 299180928.

It is not an unprimeable number, because it can be changed into a prime (829081991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82843 + ... + 92309.

It is an arithmetic number, because the mean of its divisors is an integer number (33552225).

Almost surely, 2^829081992 is an apocalyptic number.

829081992 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829081992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073671200).

829081992 is an abundant number, since it is smaller than the sum of its proper divisors (1318260408).

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

829081992 is a wasteful number, since it uses less digits than its factorization.

829081992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 829081992 is about 28793.7839125044. The cubic root of 829081992 is about 939.4330336845.

The spelling of 829081992 in words is "eight hundred twenty-nine million, eighty-one thousand, nine hundred ninety-two".