13285584 has 120 divisors (see below), whose sum is σ = 41164032. Its totient is φ = 3974400.

The previous prime is 13285529. The next prime is 13285603. The reversal of 13285584 is 48558231.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 87909 + ... + 88059.

Almost surely, 2^13285584 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 13285584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582016).

13285584 is an abundant number, since it is smaller than the sum of its proper divisors (27878448).

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

13285584 is a wasteful number, since it uses less digits than its factorization.

13285584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 13285584 is about 3644.9395056708. The cubic root of 13285584 is about 236.8428162474.

The spelling of 13285584 in words is "thirteen million, two hundred eighty-five thousand, five hundred eighty-four".