27320384 has 56 divisors (see below), whose sum is σ = 66739008. Its totient is φ = 10805760.

The previous prime is 27320383. The next prime is 27320401. The reversal of 27320384 is 48302372.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (27320383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3479 + ... + 8169.

It is an arithmetic number, because the mean of its divisors is an integer number (1191768).

Almost surely, 2^27320384 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 27320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33369504).

27320384 is an abundant number, since it is smaller than the sum of its proper divisors (39418624).

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

27320384 is a wasteful number, since it uses less digits than its factorization.

27320384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 27320384 is about 5226.8904713988. The cubic root of 27320384 is about 301.1819446481.

The spelling of 27320384 in words is "twenty-seven million, three hundred twenty thousand, three hundred eighty-four".