13728960 has 224 divisors, whose sum is σ = 55595520. Its totient is φ = 3124224.

The previous prime is 13728959. The next prime is 13728971. The reversal of 13728960 is 6982731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60367 + ... + 60593.

Almost surely, 2^13728960 is an apocalyptic number.

13728960 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 13728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797760).

13728960 is an abundant number, since it is smaller than the sum of its proper divisors (41866560).

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

13728960 is a wasteful number, since it uses less digits than its factorization.

13728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13728960 is about 3705.2611244014. The cubic root of 13728960 is about 239.4487347471.

The spelling of 13728960 in words is "thirteen million, seven hundred twenty-eight thousand, nine hundred sixty".