16224768 has 120 divisors (see below), whose sum is σ = 53621568. Its totient is φ = 4626432.

The previous prime is 16224763. The next prime is 16224779. The reversal of 16224768 is 86742261.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 not an unprimeable number, because it can be changed into a prime (16224763) 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, 32005 + ... + 32507.

Almost surely, 2^16224768 is an apocalyptic number.

16224768 is a gapful number since it is divisible by the number (18) 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 16224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784).

16224768 is an abundant number, since it is smaller than the sum of its proper divisors (37396800).

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

16224768 is an equidigital number, since it uses as much as digits as its factorization.

16224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 515 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 16224768 is about 4027.9980139022. The cubic root of 16224768 is about 253.1586854118.

Adding to 16224768 its product of digits (32256), we get a square (16257024 = 4032²).

The spelling of 16224768 in words is "sixteen million, two hundred twenty-four thousand, seven hundred sixty-eight".