27668864 has 64 divisors (see below), whose sum is σ = 60057600. Its totient is φ = 12648960.

The previous prime is 27668863. The next prime is 27668867. The reversal of 27668864 is 46886672.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27668863) 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, 75209 + ... + 75575.

It is an arithmetic number, because the mean of its divisors is an integer number (938400).

Almost surely, 2^27668864 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 27668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30028800).

27668864 is an abundant number, since it is smaller than the sum of its proper divisors (32388736).

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

27668864 is a wasteful number, since it uses less digits than its factorization.

27668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The square root of 27668864 is about 5260.1201507190. The cubic root of 27668864 is about 302.4570947504.

The spelling of 27668864 in words is "twenty-seven million, six hundred sixty-eight thousand, eight hundred sixty-four".