27352116 has 108 divisors (see below), whose sum is σ = 80458560. Its totient is φ = 7768320.

The previous prime is 27352097. The next prime is 27352121. The reversal of 27352116 is 61125372.

It is a happy number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 27352116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114325 + ... + 114563.

Almost surely, 2^27352116 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 27352116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40229280).

27352116 is an abundant number, since it is smaller than the sum of its proper divisors (53106444).

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

27352116 is a wasteful number, since it uses less digits than its factorization.

27352116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 27352116 is about 5229.9250472641. The cubic root of 27352116 is about 301.2985048416.

Adding to 27352116 its reverse (61125372), we get a palindrome (88477488).

It can be divided in two parts, 2735 and 2116, that added together give a triangular number (4851 = T₉₈).

The spelling of 27352116 in words is "twenty-seven million, three hundred fifty-two thousand, one hundred sixteen".