27205668 has 72 divisors (see below), whose sum is σ = 80301312. Its totient is φ = 7604352.

The previous prime is 27205649. The next prime is 27205679. The reversal of 27205668 is 86650272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10696 + ... + 12992.

It is an arithmetic number, because the mean of its divisors is an integer number (1115296).

Almost surely, 2^27205668 is an apocalyptic number.

27205668 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 27205668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40150656).

27205668 is an abundant number, since it is smaller than the sum of its proper divisors (53095644).

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

27205668 is a wasteful number, since it uses less digits than its factorization.

27205668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 27205668 is about 5215.9052905512. The cubic root of 27205668 is about 300.7598073514.

The spelling of 27205668 in words is "twenty-seven million, two hundred five thousand, six hundred sixty-eight".