13680006 has 16 divisors (see below), whose sum is σ = 27603504. Its totient is φ = 4519424.

The previous prime is 13680001. The next prime is 13680011. The reversal of 13680006 is 60008631.

13680006 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13680001) and next prime (13680011).

It is a Curzon 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9411 + ... + 10766.

It is an arithmetic number, because the mean of its divisors is an integer number (1725219).

Almost surely, 2^13680006 is an apocalyptic number.

13680006 is an abundant number, since it is smaller than the sum of its proper divisors (13923498).

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

13680006 is a wasteful number, since it uses less digits than its factorization.

13680006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20295.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13680006 is about 3698.6492128884. The cubic root of 13680006 is about 239.1637912515.

Adding to 13680006 its reverse (60008631), we get a palindrome (73688637).

The spelling of 13680006 in words is "thirteen million, six hundred eighty thousand, six".