13680359 has 24 divisors (see below), whose sum is σ = 18394128. Its totient is φ = 10026240.

The previous prime is 13680353. The next prime is 13680383. The reversal of 13680359 is 95308631.

It is not a de Polignac number, because 13680359 - 2²⁰ = 12631783 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8417 + ... + 9909.

It is an arithmetic number, because the mean of its divisors is an integer number (766422).

Almost surely, 2^13680359 is an apocalyptic number.

13680359 is a deficient number, since it is larger than the sum of its proper divisors (4713769).

13680359 is a wasteful number, since it uses less digits than its factorization.

13680359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

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

The square root of 13680359 is about 3698.6969327048. The cubic root of 13680359 is about 239.1658483679.

The spelling of 13680359 in words is "thirteen million, six hundred eighty thousand, three hundred fifty-nine".