13680768 has 64 divisors (see below), whose sum is σ = 37944000. Its totient is φ = 4359168.

The previous prime is 13680761. The next prime is 13680773. The reversal of 13680768 is 86708631.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13680761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8058 + ... + 9606.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 2^13680768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

13680768 is an abundant number, since it is smaller than the sum of its proper divisors (24263232).

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

13680768 is a wasteful number, since it uses less digits than its factorization.

13680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 13680768 is about 3698.7522220338. The cubic root of 13680768 is about 239.1682317814.

The spelling of 13680768 in words is "thirteen million, six hundred eighty thousand, seven hundred sixty-eight".