13601984 has 42 divisors (see below), whose sum is σ = 29658564. Its totient is φ = 6138240.

The previous prime is 13601981. The next prime is 13601999. The reversal of 13601984 is 48910631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13601984.

It is not an unprimeable number, because it can be changed into a prime (13601981) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 97787 + ... + 97925.

Almost surely, 2^13601984 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 13601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829282).

13601984 is an abundant number, since it is smaller than the sum of its proper divisors (16056580).

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

13601984 is an equidigital number, since it uses as much as digits as its factorization.

13601984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 13601984 is about 3688.0867668752. The cubic root of 13601984 is about 238.7082450302.

The spelling of 13601984 in words is "thirteen million, six hundred one thousand, nine hundred eighty-four".