16224000 has 216 divisors, whose sum is σ = 58352112. Its totient is φ = 3993600.

The previous prime is 16223959. The next prime is 16224017. The reversal of 16224000 is 42261.

16224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1247994 + ... + 1248006.

Almost surely, 2^16224000 is an apocalyptic number.

16224000 is a gapful number since it is divisible by the number (10) 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 16224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29176056).

16224000 is an abundant number, since it is smaller than the sum of its proper divisors (42128112).

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

16224000 is an equidigital number, since it uses as much as digits as its factorization.

16224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

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

The square root of 16224000 is about 4027.9026800557. The cubic root of 16224000 is about 253.1546909235.

Multiplying 16224000 by its sum of digits (15), we get a square (243360000 = 15600²).

16224000 divided by its sum of digits (15) gives a square (1081600 = 1040²).

Adding to 16224000 its reverse (42261), we get a palindrome (16266261).

The spelling of 16224000 in words is "sixteen million, two hundred twenty-four thousand".