27681291 has 48 divisors (see below), whose sum is σ = 46496800. Its totient is φ = 16251840.

The previous prime is 27681289. The next prime is 27681331. The reversal of 27681291 is 19218672.

It is not a de Polignac number, because 27681291 - 2¹ = 27681289 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27681691) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 120765 + ... + 120993.

Almost surely, 2^27681291 is an apocalyptic number.

27681291 is a deficient number, since it is larger than the sum of its proper divisors (18815509).

27681291 is a wasteful number, since it uses less digits than its factorization.

27681291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 27681291 is about 5261.3012648964. The cubic root of 27681291 is about 302.5023691275.

It can be divided in two parts, 27681 and 291, that added together give a palindrome (27972).

The spelling of 27681291 in words is "twenty-seven million, six hundred eighty-one thousand, two hundred ninety-one".