13680801 has 12 divisors (see below), whose sum is σ = 20923812. Its totient is φ = 8583936.

The previous prime is 13680773. The next prime is 13680809. The reversal of 13680801 is 10808631.

13680801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 893025 = 3576^2 + 945^2 .

It is not a de Polignac number, because 13680801 - 2⁷ = 13680673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13680809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44556 + ... + 44861.

It is an arithmetic number, because the mean of its divisors is an integer number (1743651).

Almost surely, 2^13680801 is an apocalyptic number.

It is an amenable number.

13680801 is a deficient number, since it is larger than the sum of its proper divisors (7243011).

13680801 is a wasteful number, since it uses less digits than its factorization.

13680801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89440 (or 89437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13680801 is about 3698.7566829950. The cubic root of 13680801 is about 239.1684240841.

The spelling of 13680801 in words is "thirteen million, six hundred eighty thousand, eight hundred one".