13733808 has 120 divisors (see below), whose sum is σ = 41872320. Its totient is φ = 3836160.

The previous prime is 13733801. The next prime is 13733809. The reversal of 13733808 is 80833731.

13733808 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 (33).

It is not an unprimeable number, because it can be changed into a prime (13733801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371166 + ... + 371202.

It is an arithmetic number, because the mean of its divisors is an integer number (348936).

Almost surely, 2^13733808 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 13733808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936160).

13733808 is an abundant number, since it is smaller than the sum of its proper divisors (28138512).

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

13733808 is a wasteful number, since it uses less digits than its factorization.

13733808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13733808 is about 3705.9152715625. The cubic root of 13733808 is about 239.4769163149.

It can be divided in two parts, 13733 and 808, that added together give a palindrome (14541).

The spelling of 13733808 in words is "thirteen million, seven hundred thirty-three thousand, eight hundred eight".