13606768 has 40 divisors (see below), whose sum is σ = 31109120. Its totient is φ = 5641920.

The previous prime is 13606763. The next prime is 13606781. The reversal of 13606768 is 86760631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13606763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1513 + ... + 5431.

It is an arithmetic number, because the mean of its divisors is an integer number (777728).

Almost surely, 2^13606768 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 13606768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554560).

13606768 is an abundant number, since it is smaller than the sum of its proper divisors (17502352).

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

13606768 is a wasteful number, since it uses less digits than its factorization.

13606768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 13606768 is about 3688.7352846199. The cubic root of 13606768 is about 238.7362273791.

It can be divided in two parts, 1360 and 6768, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 13606768 in words is "thirteen million, six hundred six thousand, seven hundred sixty-eight".