16224 has 36 divisors (see below), whose sum is σ = 46116. Its totient is φ = 4992.

The previous prime is 16223. The next prime is 16229. The reversal of 16224 is 42261.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1242 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (1281).

2¹⁶²²⁴ 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 16224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23058).

16224 is an abundant number, since it is smaller than the sum of its proper divisors (29892).

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

16224 is a wasteful number, since it uses less digits than its factorization.

16224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 18 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 16224 is about 127.3734666247. The cubic root of 16224 is about 25.3154690924.

Multiplying 16224 by its product of digits (96), we get a square (1557504 = 1248²).

16224 divided by its product of digits (96) gives a square (169 = 13²).

Adding to 16224 its reverse (42261), we get a palindrome (58485).

The spelling of 16224 in words is "sixteen thousand, two hundred twenty-four".