13580688 has 120 divisors (see below), whose sum is σ = 41113440. Its totient is φ = 3829760.

The previous prime is 13580681. The next prime is 13580711. The reversal of 13580688 is 88608531.

It is a happy number.

13580688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13580681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152548 + ... + 152636.

It is an arithmetic number, because the mean of its divisors is an integer number (342612).

Almost surely, 2^13580688 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 13580688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556720).

13580688 is an abundant number, since it is smaller than the sum of its proper divisors (27532752).

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

13580688 is a wasteful number, since it uses less digits than its factorization.

13580688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 13580688 is about 3685.1985021163. The cubic root of 13580688 is about 238.5836017891.

The spelling of 13580688 in words is "thirteen million, five hundred eighty thousand, six hundred eighty-eight".