12029664 has 72 divisors (see below), whose sum is σ = 32923800. Its totient is φ = 3845632.

The previous prime is 12029663. The next prime is 12029707. The reversal of 12029664 is 46692021.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12029663) 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, 80662 + ... + 80810.

It is an arithmetic number, because the mean of its divisors is an integer number (457275).

Almost surely, 2^12029664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12029664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461900).

12029664 is an abundant number, since it is smaller than the sum of its proper divisors (20894136).

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

12029664 is a wasteful number, since it uses less digits than its factorization.

12029664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 12029664 is about 3468.3806019524. The cubic root of 12029664 is about 229.1313421843.

The spelling of 12029664 in words is "twelve million, twenty-nine thousand, six hundred sixty-four".