12867264 has 84 divisors (see below), whose sum is σ = 37444680. Its totient is φ = 4224000.

The previous prime is 12867247. The next prime is 12867269. The reversal of 12867264 is 46276821.

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 (12867269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51139 + ... + 51389.

It is an arithmetic number, because the mean of its divisors is an integer number (445770).

Almost surely, 2^12867264 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 12867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722340).

12867264 is an abundant number, since it is smaller than the sum of its proper divisors (24577416).

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

12867264 is a wasteful number, since it uses less digits than its factorization.

12867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12867264 is about 3587.0968763054. The cubic root of 12867264 is about 234.3304557480.

It can be divided in two parts, 12867 and 264, that added together give a palindrome (13131).

The spelling of 12867264 in words is "twelve million, eight hundred sixty-seven thousand, two hundred sixty-four".