13563216 has 60 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 4480320.

The previous prime is 13563211. The next prime is 13563223. The reversal of 13563216 is 61236531.

13563216 is a `hidden beast` number, since 13 + 5 + 632 + 16 = 666.

13563216 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13563216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13563211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18505 + ... + 19223.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 2^13563216 is an apocalyptic number.

13563216 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 13563216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

13563216 is an abundant number, since it is smaller than the sum of its proper divisors (24737904).

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

13563216 is a wasteful number, since it uses less digits than its factorization.

13563216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 13563216 is about 3682.8271748753. The cubic root of 13563216 is about 238.4812426739.

Adding to 13563216 its reverse (61236531), we get a palindrome (74799747).

The spelling of 13563216 in words is "thirteen million, five hundred sixty-three thousand, two hundred sixteen".