13688040 has 32 divisors (see below), whose sum is σ = 41064480. Its totient is φ = 3650112.

The previous prime is 13688027. The next prime is 13688041. The reversal of 13688040 is 4088631.

It is a happy number.

13688040 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 13687989 and 13688007.

It is not an unprimeable number, because it can be changed into a prime (13688041) 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, 56914 + ... + 57153.

It is an arithmetic number, because the mean of its divisors is an integer number (1283265).

Almost surely, 2^13688040 is an apocalyptic number.

13688040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13688040 is an abundant number, since it is smaller than the sum of its proper divisors (27376440).

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

13688040 is a wasteful number, since it uses less digits than its factorization.

13688040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114081 (or 114077 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13688040 is about 3699.7351256543. The cubic root of 13688040 is about 239.2106008285.

The spelling of 13688040 in words is "thirteen million, six hundred eighty-eight thousand, forty".