13814208 has 84 divisors (see below), whose sum is σ = 41010840. Its totient is φ = 4440576.

The previous prime is 13814173. The next prime is 13814221. The reversal of 13814208 is 80241831.

It is a congruent number.

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, 16291 + ... + 17117.

Almost surely, 2^13814208 is an apocalyptic number.

13814208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505420).

13814208 is an abundant number, since it is smaller than the sum of its proper divisors (27196632).

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

13814208 is a wasteful number, since it uses less digits than its factorization.

13814208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13814208 is about 3716.7469647529. The cubic root of 13814208 is about 239.9433199484.

It can be divided in two parts, 1 and 3814208, that added together give a square (3814209 = 1953²).

The spelling of 13814208 in words is "thirteen million, eight hundred fourteen thousand, two hundred eight".