13205008 has 40 divisors (see below), whose sum is σ = 26823680. Its totient is φ = 6289920.

The previous prime is 13204973. The next prime is 13205029. The reversal of 13205008 is 80050231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39016 + ... + 39352.

It is an arithmetic number, because the mean of its divisors is an integer number (670592).

Almost surely, 2^13205008 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 13205008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411840).

13205008 is an abundant number, since it is smaller than the sum of its proper divisors (13618672).

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

13205008 is a wasteful number, since it uses less digits than its factorization.

13205008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 13205008 is about 3633.8695628765. The cubic root of 13205008 is about 236.3630341028.

Adding to 13205008 its reverse (80050231), we get a palindrome (93255239).

It can be divided in two parts, 1320 and 5008, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 13205008 in words is "thirteen million, two hundred five thousand, eight".