12678864 has 120 divisors (see below), whose sum is σ = 37601760. Its totient is φ = 3674880.

The previous prime is 12678863. The next prime is 12678893. The reversal of 12678864 is 46887621.

Its product of digits (129024) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12678863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214867 + ... + 214925.

It is an arithmetic number, because the mean of its divisors is an integer number (313348).

Almost surely, 2^12678864 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 12678864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18800880).

12678864 is an abundant number, since it is smaller than the sum of its proper divisors (24922896).

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

12678864 is a wasteful number, since it uses less digits than its factorization.

12678864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 12678864 is about 3560.7392490886. The cubic root of 12678864 is about 233.1811542858.

It can be divided in two parts, 12 and 678864, that added together give a palindrome (678876).

The spelling of 12678864 in words is "twelve million, six hundred seventy-eight thousand, eight hundred sixty-four".