13563264 has 192 divisors, whose sum is σ = 44798400. Its totient is φ = 3594240.

The previous prime is 13563257. The next prime is 13563293. The reversal of 13563264 is 46236531.

13563264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (12960) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713847 + ... + 713865.

It is an arithmetic number, because the mean of its divisors is an integer number (233325).

Almost surely, 2^13563264 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 13563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22399200).

13563264 is an abundant number, since it is smaller than the sum of its proper divisors (31235136).

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

13563264 is a wasteful number, since it uses less digits than its factorization.

13563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 13563264 is about 3682.8336916022. The cubic root of 13563264 is about 238.4815240007.

Adding to 13563264 its reverse (46236531), we get a palindrome (59799795).

The spelling of 13563264 in words is "thirteen million, five hundred sixty-three thousand, two hundred sixty-four".