13584006 has 48 divisors (see below), whose sum is σ = 31084560. Its totient is φ = 4280640.

The previous prime is 13583989. The next prime is 13584017. The reversal of 13584006 is 60048531.

13584006 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27421 + ... + 27911.

It is an arithmetic number, because the mean of its divisors is an integer number (647595).

Almost surely, 2^13584006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13584006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15542280).

13584006 is an abundant number, since it is smaller than the sum of its proper divisors (17500554).

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

13584006 is a wasteful number, since it uses less digits than its factorization.

13584006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13584006 is about 3685.6486539007. The cubic root of 13584006 is about 238.6030302582.

The spelling of 13584006 in words is "thirteen million, five hundred eighty-four thousand, six".