13617216 has 84 divisors (see below), whose sum is σ = 39940992. Its totient is φ = 4433664.

The previous prime is 13617209. The next prime is 13617217. The reversal of 13617216 is 61271631.

It is a self number, because there is not a number n which added to its sum of digits gives 13617216.

It is not an unprimeable number, because it can be changed into a prime (13617217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26821 + ... + 27323.

It is an arithmetic number, because the mean of its divisors is an integer number (475488).

Almost surely, 2^13617216 is an apocalyptic number.

13617216 is a gapful number since it is divisible by the number (16) 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 13617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

13617216 is an abundant number, since it is smaller than the sum of its proper divisors (26323776).

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

13617216 is a wasteful number, since it uses less digits than its factorization.

13617216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13617216 is about 3690.1512164138. The cubic root of 13617216 is about 238.7973165359.

Adding to 13617216 its reverse (61271631), we get a palindrome (74888847).

The spelling of 13617216 in words is "thirteen million, six hundred seventeen thousand, two hundred sixteen".