27006561 has 16 divisors (see below), whose sum is σ = 40609600. Its totient is φ = 17734464.

The previous prime is 27006527. The next prime is 27006563. The reversal of 27006561 is 16560072.

27006561 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 656 + 1 = 666.

It is not a de Polignac number, because 27006561 - 2¹¹ = 27004513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27006563) 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 15 ways as a sum of consecutive naturals, for example, 5656 + ... + 9273.

It is an arithmetic number, because the mean of its divisors is an integer number (2538100).

Almost surely, 2^27006561 is an apocalyptic number.

It is an amenable number.

27006561 is a deficient number, since it is larger than the sum of its proper divisors (13603039).

27006561 is a wasteful number, since it uses less digits than its factorization.

27006561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15005 (or 14999 counting only the distinct ones).

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

The square root of 27006561 is about 5196.7837168772. The cubic root of 27006561 is about 300.0242980320.

It can be divided in two parts, 2700 and 6561, that added together give a cube (9261 = 21³).

The spelling of 27006561 in words is "twenty-seven million, six thousand, five hundred sixty-one".