829165616 has 40 divisors (see below), whose sum is σ = 1716675840. Its totient is φ = 386601984.

The previous prime is 829165573. The next prime is 829165621. The reversal of 829165616 is 616561928.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15665 + ... + 43631.

It is an arithmetic number, because the mean of its divisors is an integer number (42916896).

Almost surely, 2^829165616 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 829165616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858337920).

829165616 is an abundant number, since it is smaller than the sum of its proper divisors (887510224).

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

829165616 is a wasteful number, since it uses less digits than its factorization.

829165616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28101 (or 28095 counting only the distinct ones).

The product of its digits is 155520, while the sum is 44.

The square root of 829165616 is about 28795.2359948655. The cubic root of 829165616 is about 939.4646174152.

The spelling of 829165616 in words is "eight hundred twenty-nine million, one hundred sixty-five thousand, six hundred sixteen".