27117006 has 64 divisors (see below), whose sum is σ = 66313728. Its totient is φ = 7216128.

The previous prime is 27116993. The next prime is 27117007. The reversal of 27117006 is 60071172.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27117007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116266 + ... + 116498.

It is an arithmetic number, because the mean of its divisors is an integer number (1036152).

Almost surely, 2^27117006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27117006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33156864).

27117006 is an abundant number, since it is smaller than the sum of its proper divisors (39196722).

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

27117006 is a wasteful number, since it uses less digits than its factorization.

27117006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 27117006 is about 5207.3991588892. The cubic root of 27117006 is about 300.4327310682.

Adding to 27117006 its reverse (60071172), we get a palindrome (87188178).

The spelling of 27117006 in words is "twenty-seven million, one hundred seventeen thousand, six".