27130320 has 180 divisors, whose sum is σ = 106126020. Its totient is φ = 6193152.

The previous prime is 27130297. The next prime is 27130333. The reversal of 27130320 is 2303172.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 16941456 = 3192^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 27130293 and 27130302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34896 + ... + 35664.

It is an arithmetic number, because the mean of its divisors is an integer number (589589).

Almost surely, 2^27130320 is an apocalyptic number.

27130320 is a gapful number since it is divisible by the number (20) 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 27130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53063010).

27130320 is an abundant number, since it is smaller than the sum of its proper divisors (78995700).

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

27130320 is a wasteful number, since it uses less digits than its factorization.

27130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 27130320 is about 5208.6773753036. The cubic root of 27130320 is about 300.4818921853.

Adding to 27130320 its reverse (2303172), we get a palindrome (29433492).

The spelling of 27130320 in words is "twenty-seven million, one hundred thirty thousand, three hundred twenty".