13680007 has 8 divisors (see below), whose sum is σ = 15078672. Its totient is φ = 12307200.

The previous prime is 13680001. The next prime is 13680011. The reversal of 13680007 is 70008631.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13680007 - 2⁷ = 13679879 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 (13680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5344 + ... + 7477.

It is an arithmetic number, because the mean of its divisors is an integer number (1884834).

Almost surely, 2^13680007 is an apocalyptic number.

13680007 is a deficient number, since it is larger than the sum of its proper divisors (1398665).

13680007 is a wasteful number, since it uses less digits than its factorization.

13680007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12929.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13680007 is about 3698.6493480729. The cubic root of 13680007 is about 239.1637970791.

Adding to 13680007 its reverse (70008631), we get a palindrome (83688638).

The spelling of 13680007 in words is "thirteen million, six hundred eighty thousand, seven".