829912006 has 64 divisors (see below), whose sum is σ = 1583815680. Its totient is φ = 316800000.

The previous prime is 829912003. The next prime is 829912021. The reversal of 829912006 is 600219928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829912003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2069406 + ... + 2069806.

It is an arithmetic number, because the mean of its divisors is an integer number (24747120).

Almost surely, 2^829912006 is an apocalyptic number.

829912006 is a deficient number, since it is larger than the sum of its proper divisors (753903674).

829912006 is a wasteful number, since it uses less digits than its factorization.

829912006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 829912006 is about 28808.1933831332. The cubic root of 829912006 is about 939.7464254905.

The spelling of 829912006 in words is "eight hundred twenty-nine million, nine hundred twelve thousand, six".