13664320 has 28 divisors (see below), whose sum is σ = 32538924. Its totient is φ = 5465600.

The previous prime is 13664317. The next prime is 13664327. The reversal of 13664320 is 2346631.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 4227136 = 3072^2 + 2056^2 .

It is not an unprimeable number, because it can be changed into a prime (13664327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21031 + ... + 21670.

Almost surely, 2^13664320 is an apocalyptic number.

13664320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13664320 is an abundant number, since it is smaller than the sum of its proper divisors (18874604).

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

13664320 is an equidigital number, since it uses as much as digits as its factorization.

13664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42718 (or 42708 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 13664320 is about 3696.5281007995. The cubic root of 13664320 is about 239.0723449461.

The spelling of 13664320 in words is "thirteen million, six hundred sixty-four thousand, three hundred twenty".