12864288 has 48 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 4243200.

The previous prime is 12864263. The next prime is 12864307. The reversal of 12864288 is 88246821.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9238 + ... + 10538.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^12864288 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 12864288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

12864288 is an abundant number, since it is smaller than the sum of its proper divisors (21258528).

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

12864288 is a wasteful number, since it uses less digits than its factorization.

12864288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 12864288 is about 3586.6820321852. The cubic root of 12864288 is about 234.3123886798.

The spelling of 12864288 in words is "twelve million, eight hundred sixty-four thousand, two hundred eighty-eight".