13580864 has 56 divisors (see below), whose sum is σ = 29846016. Its totient is φ = 6080000.

The previous prime is 13580783. The next prime is 13580869. The reversal of 13580864 is 46808531.

It is not an unprimeable number, because it can be changed into a prime (13580869) by changing a digit.

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, 71009 + ... + 71199.

Almost surely, 2^13580864 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 13580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923008).

13580864 is an abundant number, since it is smaller than the sum of its proper divisors (16265152).

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

13580864 is a wasteful number, since it uses less digits than its factorization.

13580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 13580864 is about 3685.2223813496. Note that the first 3 decimals coincide. The cubic root of 13580864 is about 238.5846324323.

The spelling of 13580864 in words is "thirteen million, five hundred eighty thousand, eight hundred sixty-four".