27013120 has 52 divisors (see below), whose sum is σ = 64872720. Its totient is φ = 10797056.

The previous prime is 27013067. The next prime is 27013141. The reversal of 27013120 is 2131072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 27013094 and 27013103.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19821 + ... + 21139.

Almost surely, 2^27013120 is an apocalyptic number.

27013120 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 27013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32436360).

27013120 is an abundant number, since it is smaller than the sum of its proper divisors (37859600).

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

27013120 is an equidigital number, since it uses as much as digits as its factorization.

27013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 27013120 is about 5197.4147419655. The cubic root of 27013120 is about 300.0485847239.

Adding to 27013120 its reverse (2131072), we get a palindrome (29144192).

The spelling of 27013120 in words is "twenty-seven million, thirteen thousand, one hundred twenty".