12864176 has 40 divisors (see below), whose sum is σ = 28019040. Its totient is φ = 5677056.

The previous prime is 12864167. The next prime is 12864179. The reversal of 12864176 is 67146821.

It is not an unprimeable number, because it can be changed into a prime (12864179) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3440 + ... + 6128.

It is an arithmetic number, because the mean of its divisors is an integer number (700476).

Almost surely, 2^12864176 is an apocalyptic number.

12864176 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 12864176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14009520).

12864176 is an abundant number, since it is smaller than the sum of its proper divisors (15154864).

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

12864176 is a wasteful number, since it uses less digits than its factorization.

12864176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2727 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 12864176 is about 3586.6664188352. Note that the first 3 decimals coincide. The cubic root of 12864176 is about 234.3117086820.

The spelling of 12864176 in words is "twelve million, eight hundred sixty-four thousand, one hundred seventy-six".