13638720 has 56 divisors (see below), whose sum is σ = 43305984. Its totient is φ = 3636736.

The previous prime is 13638707. The next prime is 13638739. The reversal of 13638720 is 2783631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6144 + ... + 8063.

Almost surely, 2^13638720 is an apocalyptic number.

13638720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13638720 is an abundant number, since it is smaller than the sum of its proper divisors (29667264).

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

13638720 is a wasteful number, since it uses less digits than its factorization.

13638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14227 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13638720 is about 3693.0637687427. The cubic root of 13638720 is about 238.9229515357.

The spelling of 13638720 in words is "thirteen million, six hundred thirty-eight thousand, seven hundred twenty".