16829712 has 60 divisors (see below), whose sum is σ = 47774844. Its totient is φ = 5529600.

The previous prime is 16829707. The next prime is 16829719. The reversal of 16829712 is 21792861.

It can be written as a sum of positive squares in 2 ways, for example, as 14470416 + 2359296 = 3804^2 + 1536^2 .

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 (16829719) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9712 + ... + 11312.

Almost surely, 2^16829712 is an apocalyptic number.

16829712 is a gapful number since it is divisible by the number (12) 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 16829712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23887422).

16829712 is an abundant number, since it is smaller than the sum of its proper divisors (30945132).

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

16829712 is a wasteful number, since it uses less digits than its factorization.

16829712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1679 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 16829712 is about 4102.4031981267. The cubic root of 16829712 is about 256.2667304563.

The spelling of 16829712 in words is "sixteen million, eight hundred twenty-nine thousand, seven hundred twelve".