27649116 has 36 divisors (see below), whose sum is σ = 76245624. Its totient is φ = 8378400.

The previous prime is 27649109. The next prime is 27649163. The reversal of 27649116 is 61194672.

27649116 is a `hidden beast` number, since 2 + 7 + 649 + 1 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34515 + ... + 35306.

It is an arithmetic number, because the mean of its divisors is an integer number (2117934).

Almost surely, 2^27649116 is an apocalyptic number.

It is an amenable number.

27649116 is an abundant number, since it is smaller than the sum of its proper divisors (48596508).

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

27649116 is a wasteful number, since it uses less digits than its factorization.

27649116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69842 (or 69837 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 27649116 is about 5258.2426722242. The cubic root of 27649116 is about 302.3851204151.

The spelling of 27649116 in words is "twenty-seven million, six hundred forty-nine thousand, one hundred sixteen".