27645138 has 56 divisors (see below), whose sum is σ = 63324048. Its totient is φ = 9045432.

The previous prime is 27645119. The next prime is 27645151. The reversal of 27645138 is 83154672.

27645138 is a `hidden beast` number, since 2 + 7 + 645 + 1 + 3 + 8 = 666.

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 27 ways as a sum of consecutive naturals, for example, 97545 + ... + 97827.

Almost surely, 2^27645138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27645138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31662024).

27645138 is an abundant number, since it is smaller than the sum of its proper divisors (35678910).

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

27645138 is an equidigital number, since it uses as much as digits as its factorization.

27645138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 27645138 is about 5257.8643953605. The cubic root of 27645138 is about 302.3706178935.

The spelling of 27645138 in words is "twenty-seven million, six hundred forty-five thousand, one hundred thirty-eight".