12829696 has 88 divisors (see below), whose sum is σ = 30066336. Its totient is φ = 5406720.

The previous prime is 12829673. The next prime is 12829709. The reversal of 12829696 is 69692821.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191455 + ... + 191521.

Almost surely, 2^12829696 is an apocalyptic number.

12829696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033168).

12829696 is an abundant number, since it is smaller than the sum of its proper divisors (17236640).

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

12829696 is a wasteful number, since it uses less digits than its factorization.

12829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 12829696 is about 3581.8565018716. The cubic root of 12829696 is about 234.1021785724.

The spelling of 12829696 in words is "twelve million, eight hundred twenty-nine thousand, six hundred ninety-six".