13385808 has 30 divisors (see below), whose sum is σ = 37462074. Its totient is φ = 4461888.

The previous prime is 13385773. The next prime is 13385809. The reversal of 13385808 is 80858331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 3196944 = 3192^2 + 1788^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13385809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46335 + ... + 46622.

Almost surely, 2^13385808 is an apocalyptic number.

13385808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13385808 is an abundant number, since it is smaller than the sum of its proper divisors (24076266).

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

13385808 is a wasteful number, since it uses less digits than its factorization.

13385808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92971 (or 92962 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 13385808 is about 3658.6620505316. The cubic root of 13385808 is about 237.4368910806.

The spelling of 13385808 in words is "thirteen million, three hundred eighty-five thousand, eight hundred eight".