13584560 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 4811520.

The previous prime is 13584553. The next prime is 13584577. The reversal of 13584560 is 6548531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 37661 + ... + 38019.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^13584560 is an apocalyptic number.

13584560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13584560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

13584560 is an abundant number, since it is smaller than the sum of its proper divisors (21770320).

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

13584560 is a wasteful number, since it uses less digits than its factorization.

13584560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 13584560 is about 3685.7238095115. The cubic root of 13584560 is about 238.6062738836.

The spelling of 13584560 in words is "thirteen million, five hundred eighty-four thousand, five hundred sixty".