13680018 has 48 divisors (see below), whose sum is σ = 32658912. Its totient is φ = 4138200.

The previous prime is 13680011. The next prime is 13680041. The reversal of 13680018 is 81008631.

13680018 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 a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13679973 and 13680000.

It is not an unprimeable number, because it can be changed into a prime (13680011) 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, 23673 + ... + 24243.

It is an arithmetic number, because the mean of its divisors is an integer number (680394).

Almost surely, 2^13680018 is an apocalyptic number.

13680018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13680018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329456).

13680018 is an abundant number, since it is smaller than the sum of its proper divisors (18978894).

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

13680018 is a wasteful number, since it uses less digits than its factorization.

13680018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 587 counting only the distinct ones).

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

The square root of 13680018 is about 3698.6508351019. The cubic root of 13680018 is about 239.1638611824.

Adding to 13680018 its reverse (81008631), we get a palindrome (94688649).

The spelling of 13680018 in words is "thirteen million, six hundred eighty thousand, eighteen".