13224400 has 60 divisors (see below), whose sum is σ = 36318112. Its totient is φ = 4533120.

The previous prime is 13224391. The next prime is 13224457. The reversal of 13224400 is 442231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 5161.

Almost surely, 2^13224400 is an apocalyptic number.

13224400 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 13224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159056).

13224400 is an abundant number, since it is smaller than the sum of its proper divisors (23093712).

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

13224400 is a wasteful number, since it uses less digits than its factorization.

13224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 13224400 is about 3636.5368140581. The cubic root of 13224400 is about 236.4786798761.

Adding to 13224400 its reverse (442231), we get a palindrome (13666631).

The spelling of 13224400 in words is "thirteen million, two hundred twenty-four thousand, four hundred".