13680120 has 32 divisors (see below), whose sum is σ = 41040720. Its totient is φ = 3648000.

The previous prime is 13680113. The next prime is 13680167. The reversal of 13680120 is 2108631.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56881 + ... + 57120.

Almost surely, 2^13680120 is an apocalyptic number.

13680120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13680120 is an abundant number, since it is smaller than the sum of its proper divisors (27360600).

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

13680120 is a wasteful number, since it uses less digits than its factorization.

13680120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114015 (or 114011 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13680120 is about 3698.6646238879. The cubic root of 13680120 is about 239.1644555933.

Adding to 13680120 its reverse (2108631), we get a palindrome (15788751).

The spelling of 13680120 in words is "thirteen million, six hundred eighty thousand, one hundred twenty".