27161664 has 56 divisors (see below), whose sum is σ = 72286368. Its totient is φ = 9000960.

The previous prime is 27161593. The next prime is 27161669. The reversal of 27161664 is 46616172.

It is not an unprimeable number, because it can be changed into a prime (27161669) 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 7 ways as a sum of consecutive naturals, for example, 45979 + ... + 46565.

It is an arithmetic number, because the mean of its divisors is an integer number (1290828).

Almost surely, 2^27161664 is an apocalyptic number.

27161664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36143184).

27161664 is an abundant number, since it is smaller than the sum of its proper divisors (45124704).

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

27161664 is a wasteful number, since it uses less digits than its factorization.

27161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 27161664 is about 5211.6853320207. The cubic root of 27161664 is about 300.5975644875.

The spelling of 27161664 in words is "twenty-seven million, one hundred sixty-one thousand, six hundred sixty-four".