12267864 has 96 divisors (see below), whose sum is σ = 38507040. Its totient is φ = 3456000.

The previous prime is 12267859. The next prime is 12267883. The reversal of 12267864 is 46876221.

12267864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 50784 + ... + 51024.

It is an arithmetic number, because the mean of its divisors is an integer number (401115).

Almost surely, 2^12267864 is an apocalyptic number.

12267864 is a gapful number since it is divisible by the number (14) 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 12267864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253520).

12267864 is an abundant number, since it is smaller than the sum of its proper divisors (26239176).

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

12267864 is a wasteful number, since it uses less digits than its factorization.

12267864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

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

The square root of 12267864 is about 3502.5510702915. The cubic root of 12267864 is about 230.6338157337.

It can be divided in two parts, 12267 and 864, that added together give a palindrome (13131).

The spelling of 12267864 in words is "twelve million, two hundred sixty-seven thousand, eight hundred sixty-four".