829920168 has 160 divisors (see below), whose sum is σ = 2898308160. Its totient is φ = 215550720.

The previous prime is 829920149. The next prime is 829920191. The reversal of 829920168 is 861029928.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41580 + ... + 58212.

It is an arithmetic number, because the mean of its divisors is an integer number (18114426).

Almost surely, 2^829920168 is an apocalyptic number.

829920168 is a gapful number since it is divisible by the number (88) 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 829920168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449154080).

829920168 is an abundant number, since it is smaller than the sum of its proper divisors (2068387992).

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

829920168 is a wasteful number, since it uses less digits than its factorization.

829920168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16669 (or 16656 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 829920168 is about 28808.3350438723. The cubic root of 829920168 is about 939.7495062128.

The spelling of 829920168 in words is "eight hundred twenty-nine million, nine hundred twenty thousand, one hundred sixty-eight".