13584384 has 144 divisors (see below), whose sum is σ = 43439760. Its totient is φ = 4055040.

The previous prime is 13584379. The next prime is 13584397. The reversal of 13584384 is 48348531.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202719 + ... + 202785.

It is an arithmetic number, because the mean of its divisors is an integer number (301665).

Almost surely, 2^13584384 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 13584384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719880).

13584384 is an abundant number, since it is smaller than the sum of its proper divisors (29855376).

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

13584384 is a wasteful number, since it uses less digits than its factorization.

13584384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 13584384 is about 3685.6999335269. The cubic root of 13584384 is about 238.6052434273.

The spelling of 13584384 in words is "thirteen million, five hundred eighty-four thousand, three hundred eighty-four".