12864192 has 56 divisors (see below), whose sum is σ = 37136832. Its totient is φ = 3897600.

The previous prime is 12864191. The next prime is 12864209. The reversal of 12864192 is 29146821.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12864191) 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, 934 + ... + 5157.

Almost surely, 2^12864192 is an apocalyptic number.

12864192 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 12864192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18568416).

12864192 is an abundant number, since it is smaller than the sum of its proper divisors (24272640).

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

12864192 is a wasteful number, since it uses less digits than its factorization.

12864192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117 (or 6107 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 12864192 is about 3586.6686493179. The cubic root of 12864192 is about 234.3118058248.

The spelling of 12864192 in words is "twelve million, eight hundred sixty-four thousand, one hundred ninety-two".