27676864 has 56 divisors (see below), whose sum is σ = 57332880. Its totient is φ = 13246464.

The previous prime is 27676861. The next prime is 27676903. The reversal of 27676864 is 46867672.

It is not an unprimeable number, because it can be changed into a prime (27676861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244872 + ... + 244984.

Almost surely, 2^27676864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28666440).

27676864 is an abundant number, since it is smaller than the sum of its proper divisors (29656016).

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

27676864 is a wasteful number, since it uses less digits than its factorization.

27676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 27676864 is about 5260.8805346634. The cubic root of 27676864 is about 302.4862421173.

The spelling of 27676864 in words is "twenty-seven million, six hundred seventy-six thousand, eight hundred sixty-four".