13579984 has 80 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 5616000.

The previous prime is 13579967. The next prime is 13579997. The reversal of 13579984 is 48997531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103599 + ... + 103729.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 2^13579984 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 13579984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

13579984 is an abundant number, since it is smaller than the sum of its proper divisors (17846576).

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

13579984 is a wasteful number, since it uses less digits than its factorization.

13579984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 13579984 is about 3685.1029836356. The cubic root of 13579984 is about 238.5794791271.

The spelling of 13579984 in words is "thirteen million, five hundred seventy-nine thousand, nine hundred eighty-four".