13663200 has 72 divisors (see below), whose sum is σ = 44481528. Its totient is φ = 3642880.

The previous prime is 13663183. The next prime is 13663217. The reversal of 13663200 is 236631.

13663200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13663183) and next prime (13663217).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447 + ... + 5246.

It is an arithmetic number, because the mean of its divisors is an integer number (617799).

Almost surely, 2^13663200 is an apocalyptic number.

13663200 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 13663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240764).

13663200 is an abundant number, since it is smaller than the sum of its proper divisors (30818328).

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

13663200 is a wasteful number, since it uses less digits than its factorization.

13663200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 13663200 is about 3696.3766041896. The cubic root of 13663200 is about 239.0658128893.

Adding to 13663200 its reverse (236631), we get a palindrome (13899831).

It can be divided in two parts, 136 and 63200, that added together give a palindrome (63336).

The spelling of 13663200 in words is "thirteen million, six hundred sixty-three thousand, two hundred".