13644200 has 48 divisors (see below), whose sum is σ = 33597180. Its totient is φ = 5135360.

The previous prime is 13644193. The next prime is 13644203. The reversal of 13644200 is 244631.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9375844 + 4268356 = 3062^2 + 2066^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13644203) 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, 1394 + ... + 5406.

Almost surely, 2^13644200 is an apocalyptic number.

13644200 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 13644200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798590).

13644200 is an abundant number, since it is smaller than the sum of its proper divisors (19952980).

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

13644200 is a wasteful number, since it uses less digits than its factorization.

13644200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 13644200 is about 3693.8056256387. The cubic root of 13644200 is about 238.9549467781.

Adding to 13644200 its reverse (244631), we get a palindrome (13888831).

The spelling of 13644200 in words is "thirteen million, six hundred forty-four thousand, two hundred".