13600224 has 168 divisors, whose sum is σ = 44620632. Its totient is φ = 4043520.

The previous prime is 13600211. The next prime is 13600229. The reversal of 13600224 is 42200631.

It is a happy number.

13600224 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13600197 and 13600206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13600229) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256582 + ... + 256634.

It is an arithmetic number, because the mean of its divisors is an integer number (265599).

Almost surely, 2^13600224 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 13600224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22310316).

13600224 is an abundant number, since it is smaller than the sum of its proper divisors (31020408).

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

13600224 is an equidigital number, since it uses as much as digits as its factorization.

13600224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13600224 is about 3687.8481530562. The cubic root of 13600224 is about 238.6979488696.

Adding to 13600224 its reverse (42200631), we get a palindrome (55800855).

It can be divided in two parts, 13600 and 224, that added together give a cube (13824 = 24³).

The spelling of 13600224 in words is "thirteen million, six hundred thousand, two hundred twenty-four".