829160960 has 80 divisors (see below), whose sum is σ = 2001675456. Its totient is φ = 329392128.

The previous prime is 829160957. The next prime is 829160989. The reversal of 829160960 is 69061928.

829160960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 400889 + ... + 402951.

Almost surely, 2^829160960 is an apocalyptic number.

829160960 is a gapful number since it is divisible by the number (80) 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 829160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000837728).

829160960 is an abundant number, since it is smaller than the sum of its proper divisors (1172514496).

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

829160960 is a wasteful number, since it uses less digits than its factorization.

829160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 829160960 is about 28795.1551480453. The cubic root of 829160960 is about 939.4628589585.

The spelling of 829160960 in words is "eight hundred twenty-nine million, one hundred sixty thousand, nine hundred sixty".