13630368 has 48 divisors (see below), whose sum is σ = 36662976. Its totient is φ = 4431360.

The previous prime is 13630363. The next prime is 13630369. The reversal of 13630368 is 86303631.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13630363) 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, 2205 + ... + 5667.

It is an arithmetic number, because the mean of its divisors is an integer number (763812).

Almost surely, 2^13630368 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 13630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18331488).

13630368 is an abundant number, since it is smaller than the sum of its proper divisors (23032608).

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

13630368 is a wasteful number, since it uses less digits than its factorization.

13630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 13630368 is about 3691.9328271246. The cubic root of 13630368 is about 238.8741714948.

Adding to 13630368 its reverse (86303631), we get a palindrome (99933999).

The spelling of 13630368 in words is "thirteen million, six hundred thirty thousand, three hundred sixty-eight".