13205768 has 16 divisors (see below), whose sum is σ = 25167660. Its totient is φ = 6494400.

The previous prime is 13205737. The next prime is 13205789. The reversal of 13205768 is 86750231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9972964 + 3232804 = 3158^2 + 1798^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13043 + ... + 14018.

Almost surely, 2^13205768 is an apocalyptic number.

It is an amenable number.

13205768 is a deficient number, since it is larger than the sum of its proper divisors (11961892).

13205768 is a wasteful number, since it uses less digits than its factorization.

13205768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27128 (or 27124 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 13205768 is about 3633.9741330945. The cubic root of 13205768 is about 236.3675685557.

Adding to 13205768 its reverse (86750231), we get a palindrome (99955999).

The spelling of 13205768 in words is "thirteen million, two hundred five thousand, seven hundred sixty-eight".