13736808 has 48 divisors (see below), whose sum is σ = 37592100. Its totient is φ = 4531200.

The previous prime is 13736803. The next prime is 13736837. The reversal of 13736808 is 80863731.

13736808 is digitally balanced in base 2, because in such base 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 12659364 + 1077444 = 3558^2 + 1038^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13736803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6328 + ... + 8216.

Almost surely, 2^13736808 is an apocalyptic number.

13736808 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 13736808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796050).

13736808 is an abundant number, since it is smaller than the sum of its proper divisors (23855292).

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

13736808 is a wasteful number, since it uses less digits than its factorization.

13736808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13736808 is about 3706.3200077705. The cubic root of 13736808 is about 239.4943520823.

The spelling of 13736808 in words is "thirteen million, seven hundred thirty-six thousand, eight hundred eight".