13310688 has 48 divisors (see below), whose sum is σ = 35528976. Its totient is φ = 4362240.

The previous prime is 13310669. The next prime is 13310701. The reversal of 13310688 is 88601331.

It is a tau number, because it is divible by the number of its divisors (48).

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, 4720 + ... + 6992.

It is an arithmetic number, because the mean of its divisors is an integer number (740187).

Almost surely, 2^13310688 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 13310688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17764488).

13310688 is an abundant number, since it is smaller than the sum of its proper divisors (22218288).

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

13310688 is a wasteful number, since it uses less digits than its factorization.

13310688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13310688 is about 3648.3815589930. The cubic root of 13310688 is about 236.9918991694.

The spelling of 13310688 in words is "thirteen million, three hundred ten thousand, six hundred eighty-eight".