13306688 has 56 divisors (see below), whose sum is σ = 28773120. Its totient is φ = 6082560.

The previous prime is 13306663. The next prime is 13306691. The reversal of 13306688 is 88660331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37520 + ... + 37872.

Almost surely, 2^13306688 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 13306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386560).

13306688 is an abundant number, since it is smaller than the sum of its proper divisors (15466432).

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

13306688 is a wasteful number, since it uses less digits than its factorization.

13306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 13306688 is about 3647.8333295259. The cubic root of 13306688 is about 236.9681572819.

The spelling of 13306688 in words is "thirteen million, three hundred six thousand, six hundred eighty-eight".