13688430 has 32 divisors (see below), whose sum is σ = 37545984. Its totient is φ = 3128736.

The previous prime is 13688419. The next prime is 13688431. The reversal of 13688430 is 3488631.

It is a junction number, because it is equal to n+sod(n) for n = 13688391 and 13688400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13688431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32382 + ... + 32801.

It is an arithmetic number, because the mean of its divisors is an integer number (1173312).

Almost surely, 2^13688430 is an apocalyptic number.

13688430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13688430 is an abundant number, since it is smaller than the sum of its proper divisors (23857554).

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

13688430 is a wasteful number, since it uses less digits than its factorization.

13688430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65200.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13688430 is about 3699.7878317547. The cubic root of 13688430 is about 239.2128726718.

The spelling of 13688430 in words is "thirteen million, six hundred eighty-eight thousand, four hundred thirty".