27485668 has 72 divisors (see below), whose sum is σ = 60587352. Its totient is φ = 10838016.

The previous prime is 27485599. The next prime is 27485677. The reversal of 27485668 is 86658472.

It can be written as a sum of positive squares in 4 ways, for example, as 1658944 + 25826724 = 1288^2 + 5082^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 243180 + ... + 243292.

It is an arithmetic number, because the mean of its divisors is an integer number (841491).

Almost surely, 2^27485668 is an apocalyptic number.

27485668 is a gapful number since it is divisible by the number (28) 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 27485668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30293676).

27485668 is an abundant number, since it is smaller than the sum of its proper divisors (33101684).

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

27485668 is a wasteful number, since it uses less digits than its factorization.

27485668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 27485668 is about 5242.6775601786. The cubic root of 27485668 is about 301.7880916241.

The spelling of 27485668 in words is "twenty-seven million, four hundred eighty-five thousand, six hundred sixty-eight".