13680960 has 56 divisors (see below), whose sum is σ = 43440096. Its totient is φ = 3648000.

The previous prime is 13680949. The next prime is 13681033. The reversal of 13680960 is 6908631.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 6166 + ... + 8085.

It is an arithmetic number, because the mean of its divisors is an integer number (775716).

Almost surely, 2^13680960 is an apocalyptic number.

13680960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13680960 is an abundant number, since it is smaller than the sum of its proper divisors (29759136).

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

13680960 is a wasteful number, since it uses less digits than its factorization.

13680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 13680960 is about 3698.7781766416. The cubic root of 13680960 is about 239.1693506290.

The spelling of 13680960 in words is "thirteen million, six hundred eighty thousand, nine hundred sixty".