13664960 has 28 divisors (see below), whose sum is σ = 32540448. Its totient is φ = 5465856.

The previous prime is 13664953. The next prime is 13664969. The reversal of 13664960 is 6946631.

It is a super-2 number, since 2×13664960² = 373462263603200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13664960.

It is not an unprimeable number, because it can be changed into a prime (13664969) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 21032 + ... + 21671.

Almost surely, 2^13664960 is an apocalyptic number.

13664960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13664960 is an abundant number, since it is smaller than the sum of its proper divisors (18875488).

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

13664960 is an equidigital number, since it uses as much as digits as its factorization.

13664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42720 (or 42710 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 13664960 is about 3696.6146675032. The cubic root of 13664960 is about 239.0760773897.

The spelling of 13664960 in words is "thirteen million, six hundred sixty-four thousand, nine hundred sixty".