829063872 has 168 divisors, whose sum is σ = 2924938016. Its totient is φ = 218640384.

The previous prime is 829063849. The next prime is 829063883. The reversal of 829063872 is 278360928.

829063872 is a `hidden beast` number, since 8 + 2 + 9 + 0 + 638 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44508 + ... + 60324.

Almost surely, 2^829063872 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 829063872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462469008).

829063872 is an abundant number, since it is smaller than the sum of its proper divisors (2095874144).

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

829063872 is a wasteful number, since it uses less digits than its factorization.

829063872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15855 (or 15842 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 829063872 is about 28793.4692595387. The cubic root of 829063872 is about 939.4261897090.

The spelling of 829063872 in words is "eight hundred twenty-nine million, sixty-three thousand, eight hundred seventy-two".