13223664 has 60 divisors (see below), whose sum is σ = 37343592. Its totient is φ = 4368000.

The previous prime is 13223647. The next prime is 13223669. The reversal of 13223664 is 46632231.

13223664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223669) 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, 18514 + ... + 19214.

Almost surely, 2^13223664 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 13223664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671796).

13223664 is an abundant number, since it is smaller than the sum of its proper divisors (24119928).

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

13223664 is a wasteful number, since it uses less digits than its factorization.

13223664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 13223664 is about 3636.4356174694. The cubic root of 13223664 is about 236.4742927449.

Adding to 13223664 its reverse (46632231), we get a palindrome (59855895).

The spelling of 13223664 in words is "thirteen million, two hundred twenty-three thousand, six hundred sixty-four".