829116612 has 36 divisors (see below), whose sum is σ = 2168095020. Its totient is φ = 266841792.

The previous prime is 829116611. The next prime is 829116619. The reversal of 829116612 is 216611928.

829116612 is a `hidden beast` number, since 8 + 29 + 1 + 16 + 612 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 505980036 + 323136576 = 22494^2 + 17976^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×829116612³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (829116611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396043 + ... + 398130.

Almost surely, 2^829116612 is an apocalyptic number.

It is an amenable number.

829116612 is an abundant number, since it is smaller than the sum of its proper divisors (1338978408).

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

829116612 is a wasteful number, since it uses less digits than its factorization.

829116612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794212 (or 794207 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 829116612 is about 28794.3850776501. The cubic root of 829116612 is about 939.4461094797.

The spelling of 829116612 in words is "eight hundred twenty-nine million, one hundred sixteen thousand, six hundred twelve".