27984096 has 144 divisors (see below), whose sum is σ = 95089680. Its totient is φ = 7983360.

The previous prime is 27984059. The next prime is 27984097. The reversal of 27984096 is 69048972.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27984097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42006 + ... + 42666.

It is an arithmetic number, because the mean of its divisors is an integer number (660345).

Almost surely, 2^27984096 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 27984096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47544840).

27984096 is an abundant number, since it is smaller than the sum of its proper divisors (67105584).

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

27984096 is a wasteful number, since it uses less digits than its factorization.

27984096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 27984096 is about 5289.9996219282. Note that the first 3 decimals coincide. The cubic root of 27984096 is about 303.6013935476.

It can be divided in two parts, 279840 and 96, that added together give a 7-th power (279936 = 6⁷).

The spelling of 27984096 in words is "twenty-seven million, nine hundred eighty-four thousand, ninety-six".