13814008 has 32 divisors (see below), whose sum is σ = 28551600. Its totient is φ = 6225408.

The previous prime is 13813997. The next prime is 13814027. The reversal of 13814008 is 80041831.

13814008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2928 + ... + 6016.

Almost surely, 2^13814008 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 13814008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14275800).

13814008 is an abundant number, since it is smaller than the sum of its proper divisors (14737592).

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

13814008 is a wasteful number, since it uses less digits than its factorization.

13814008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 13814008 is about 3716.7200594072. The cubic root of 13814008 is about 239.9421619886.

Adding to 13814008 its reverse (80041831), we get a palindrome (93855839).

The spelling of 13814008 in words is "thirteen million, eight hundred fourteen thousand, eight".