13663360 has 64 divisors (see below), whose sum is σ = 33604920. Its totient is φ = 5308416.

The previous prime is 13663327. The next prime is 13663361. The reversal of 13663360 is 6336631.

It can be written as a sum of positive squares in 4 ways, for example, as 13483584 + 179776 = 3672^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23392 + ... + 23968.

Almost surely, 2^13663360 is an apocalyptic number.

13663360 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 13663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802460).

13663360 is an abundant number, since it is smaller than the sum of its proper divisors (19941560).

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

13663360 is an equidigital number, since it uses as much as digits as its factorization.

13663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 13663360 is about 3696.3982469426. The cubic root of 13663360 is about 239.0667460621.

Adding to 13663360 its reverse (6336631), we get a palindrome (19999991).

The spelling of 13663360 in words is "thirteen million, six hundred sixty-three thousand, three hundred sixty".