13268008 has 32 divisors (see below), whose sum is σ = 27052200. Its totient is φ = 6064128.

The previous prime is 13267999. The next prime is 13268009. The reversal of 13268008 is 80086231.

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 11142244 = 1458^2 + 3338^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13268009) 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, 11188 + ... + 12316.

Almost surely, 2^13268008 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 13268008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526100).

13268008 is an abundant number, since it is smaller than the sum of its proper divisors (13784192).

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

13268008 is a wasteful number, since it uses less digits than its factorization.

13268008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 13268008 is about 3642.5276937863. The cubic root of 13268008 is about 236.7383273925.

The spelling of 13268008 in words is "thirteen million, two hundred sixty-eight thousand, eight".