13008216 has 64 divisors (see below), whose sum is σ = 35370720. Its totient is φ = 3962880.

The previous prime is 13008209. The next prime is 13008223. The reversal of 13008216 is 61280031.

It is an interprime number because it is at equal distance from previous prime (13008209) and next prime (13008223).

It is a junction number, because it is equal to n+sod(n) for n = 13008192 and 13008201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53856 + ... + 54096.

Almost surely, 2^13008216 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 13008216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17685360).

13008216 is an abundant number, since it is smaller than the sum of its proper divisors (22362504).

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

13008216 is a wasteful number, since it uses less digits than its factorization.

13008216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13008216 is about 3606.6904497059. The cubic root of 13008216 is about 235.1829931245.

Adding to 13008216 its reverse (61280031), we get a palindrome (74288247).

The spelling of 13008216 in words is "thirteen million, eight thousand, two hundred sixteen".