829150668 has 60 divisors (see below), whose sum is σ = 2171436960. Its totient is φ = 275889888.

The previous prime is 829150643. The next prime is 829150669. The reversal of 829150668 is 866051928.

829150668 is a `hidden beast` number, since 82 + 9 + 1 + 506 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (829150669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209613 + ... + 213531.

It is an arithmetic number, because the mean of its divisors is an integer number (36190616).

Almost surely, 2^829150668 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 829150668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085718480).

829150668 is an abundant number, since it is smaller than the sum of its proper divisors (1342286292).

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

829150668 is a wasteful number, since it uses less digits than its factorization.

829150668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 829150668 is about 28794.9764368718. The cubic root of 829150668 is about 939.4589718999.

The spelling of 829150668 in words is "eight hundred twenty-nine million, one hundred fifty thousand, six hundred sixty-eight".