12829866 has 72 divisors (see below), whose sum is σ = 31918176. Its totient is φ = 3427200.

The previous prime is 12829847. The next prime is 12829879. The reversal of 12829866 is 66892821.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 35 ways as a sum of consecutive naturals, for example, 84891 + ... + 85041.

It is an arithmetic number, because the mean of its divisors is an integer number (443308).

Almost surely, 2^12829866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12829866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15959088).

12829866 is an abundant number, since it is smaller than the sum of its proper divisors (19088310).

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

12829866 is a wasteful number, since it uses less digits than its factorization.

12829866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 12829866 is about 3581.8802325036. The cubic root of 12829866 is about 234.1032125588.

It can be divided in two parts, 12829 and 866, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 12829866 in words is "twelve million, eight hundred twenty-nine thousand, eight hundred sixty-six".