13680593 has 4 divisors (see below), whose sum is σ = 14014308. Its totient is φ = 13346880.

The previous prime is 13680587. The next prime is 13680613. The reversal of 13680593 is 39508631.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 39508631 = 661 ⋅59771.

It can be written as a sum of positive squares in 2 ways, for example, as 1056784 + 12623809 = 1028^2 + 3553^2 .

It is a cyclic number.

It is not a de Polignac number, because 13680593 - 2⁴ = 13680577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13680553) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166796 + ... + 166877.

It is an arithmetic number, because the mean of its divisors is an integer number (3503577).

Almost surely, 2^13680593 is an apocalyptic number.

It is an amenable number.

13680593 is a deficient number, since it is larger than the sum of its proper divisors (333715).

13680593 is an equidigital number, since it uses as much as digits as its factorization.

13680593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333714.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 13680593 is about 3698.7285653316. The cubic root of 13680593 is about 239.1672119892.

The spelling of 13680593 in words is "thirteen million, six hundred eighty thousand, five hundred ninety-three".