27321984 has 96 divisors (see below), whose sum is σ = 80872740. Its totient is φ = 8847360.

The previous prime is 27321971. The next prime is 27321989. The reversal of 27321984 is 48912372.

It can be written as a sum of positive squares in 2 ways, for example, as 21902400 + 5419584 = 4680^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27321989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42304 + ... + 42944.

Almost surely, 2^27321984 is an apocalyptic number.

27321984 is a gapful number since it is divisible by the number (24) 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 27321984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40436370).

27321984 is an abundant number, since it is smaller than the sum of its proper divisors (53550756).

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

27321984 is a wasteful number, since it uses less digits than its factorization.

27321984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 27321984 is about 5227.0435238287. The cubic root of 27321984 is about 301.1878240397.

The spelling of 27321984 in words is "twenty-seven million, three hundred twenty-one thousand, nine hundred eighty-four".