12829968 has 80 divisors (see below), whose sum is σ = 39015360. Its totient is φ = 4022784.

The previous prime is 12829967. The next prime is 12829987. The reversal of 12829968 is 86992821.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12829961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6471 + ... + 8217.

It is an arithmetic number, because the mean of its divisors is an integer number (487692).

Almost surely, 2^12829968 is an apocalyptic number.

12829968 is a gapful number since it is divisible by the number (18) 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 12829968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507680).

12829968 is an abundant number, since it is smaller than the sum of its proper divisors (26185392).

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

12829968 is a wasteful number, since it uses less digits than its factorization.

12829968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1769 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 12829968 is about 3581.8944708073. The cubic root of 12829968 is about 234.1038329463.

The spelling of 12829968 in words is "twelve million, eight hundred twenty-nine thousand, nine hundred sixty-eight".