12683268 has 72 divisors (see below), whose sum is σ = 35422296. Its totient is φ = 3801600.

The previous prime is 12683263. The next prime is 12683269. The reversal of 12683268 is 86238621.

It can be written as a sum of positive squares in 4 ways, for example, as 66564 + 12616704 = 258^2 + 3552^2 .

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 (12683261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18858 + ... + 19518.

Almost surely, 2^12683268 is an apocalyptic number.

12683268 is a gapful number since it is divisible by the number (18) 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 12683268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17711148).

12683268 is an abundant number, since it is smaller than the sum of its proper divisors (22739028).

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

12683268 is a wasteful number, since it uses less digits than its factorization.

12683268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12683268 is about 3561.3576063069. The cubic root of 12683268 is about 233.2081496308.

The spelling of 12683268 in words is "twelve million, six hundred eighty-three thousand, two hundred sixty-eight".