13680040 has 32 divisors (see below), whose sum is σ = 33579360. Its totient is φ = 4974400.

The previous prime is 13680011. The next prime is 13680041. The reversal of 13680040 is 4008631.

13680040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13679993 and 13680020.

It is not an unprimeable number, because it can be changed into a prime (13680041) 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, 15106 + ... + 15985.

It is an arithmetic number, because the mean of its divisors is an integer number (1049355).

Almost surely, 2^13680040 is an apocalyptic number.

13680040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13680040 is an abundant number, since it is smaller than the sum of its proper divisors (19899320).

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

13680040 is a wasteful number, since it uses less digits than its factorization.

13680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31113 (or 31109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13680040 is about 3698.6538091581. The cubic root of 13680040 is about 239.1639893889.

Adding to 13680040 its reverse (4008631), we get a palindrome (17688671).

The spelling of 13680040 in words is "thirteen million, six hundred eighty thousand, forty".