13688424 has 48 divisors (see below), whose sum is σ = 37985220. Its totient is φ = 4450560.

The previous prime is 13688419. The next prime is 13688431. The reversal of 13688424 is 42488631.

13688424 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 can be written as a sum of positive squares in 2 ways, for example, as 11492100 + 2196324 = 3390^2 + 1482^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634 + ... + 5270.

Almost surely, 2^13688424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13688424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992610).

13688424 is an abundant number, since it is smaller than the sum of its proper divisors (24296796).

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

13688424 is a wasteful number, since it uses less digits than its factorization.

13688424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4683 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13688424 is about 3699.7870208973. The cubic root of 13688424 is about 239.2128377207.

The spelling of 13688424 in words is "thirteen million, six hundred eighty-eight thousand, four hundred twenty-four".