27966564 has 36 divisors (see below), whose sum is σ = 74853324. Its totient is φ = 8773632.

The previous prime is 27966541. The next prime is 27966569. The reversal of 27966564 is 46566972.

27966564 is a `hidden beast` number, since 27 + 9 + 66 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16064064 + 11902500 = 4008^2 + 3450^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27966569) 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 11 ways as a sum of consecutive naturals, for example, 22237 + ... + 23460.

It is an arithmetic number, because the mean of its divisors is an integer number (2079259).

Almost surely, 2^27966564 is an apocalyptic number.

It is an amenable number.

27966564 is an abundant number, since it is smaller than the sum of its proper divisors (46886760).

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

27966564 is a wasteful number, since it uses less digits than its factorization.

27966564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45724 (or 45719 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 27966564 is about 5288.3422733405. The cubic root of 27966564 is about 303.5379783423.

The spelling of 27966564 in words is "twenty-seven million, nine hundred sixty-six thousand, five hundred sixty-four".