27120520 has 96 divisors (see below), whose sum is σ = 72209880. Its totient is φ = 9139200.

The previous prime is 27120517. The next prime is 27120523. The reversal of 27120520 is 2502172.

It is an interprime number because it is at equal distance from previous prime (27120517) and next prime (27120523).

It can be written as a sum of positive squares in 4 ways, for example, as 26687556 + 432964 = 5166^2 + 658^2 .

It is not an unprimeable number, because it can be changed into a prime (27120523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197892 + ... + 198028.

Almost surely, 2^27120520 is an apocalyptic number.

27120520 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 27120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36104940).

27120520 is an abundant number, since it is smaller than the sum of its proper divisors (45089360).

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

27120520 is a wasteful number, since it uses less digits than its factorization.

27120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 27120520 is about 5207.7365524765. The cubic root of 27120520 is about 300.4457078575.

Adding to 27120520 its reverse (2502172), we get a palindrome (29622692).

The spelling of 27120520 in words is "twenty-seven million, one hundred twenty thousand, five hundred twenty".