27668304 has 100 divisors (see below), whose sum is σ = 82386964. Its totient is φ = 8957952.

The previous prime is 27668297. The next prime is 27668309. The reversal of 27668304 is 40386672.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 1166400 = 5148^2 + 1080^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27668309) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47664 + ... + 48240.

Almost surely, 2^27668304 is an apocalyptic number.

27668304 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 27668304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41193482).

27668304 is an abundant number, since it is smaller than the sum of its proper divisors (54718660).

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

27668304 is a wasteful number, since it uses less digits than its factorization.

27668304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 27668304 is about 5260.0669197264. The cubic root of 27668304 is about 302.4550542243.

It can be divided in two parts, 27668 and 304, that added together give a palindrome (27972).

The spelling of 27668304 in words is "twenty-seven million, six hundred sixty-eight thousand, three hundred four".