27668480 has 104 divisors (see below), whose sum is σ = 76274592. Its totient is φ = 9437184.

The previous prime is 27668447. The next prime is 27668507. The reversal of 27668480 is 8486672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143264 + ... + 143456.

Almost surely, 2^27668480 is an apocalyptic number.

27668480 is a gapful number since it is divisible by the number (20) 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 27668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38137296).

27668480 is an abundant number, since it is smaller than the sum of its proper divisors (48606112).

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

27668480 is an equidigital number, since it uses as much as digits as its factorization.

27668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 27668480 is about 5260.0836495250. The cubic root of 27668480 is about 302.4556955354.

The spelling of 27668480 in words is "twenty-seven million, six hundred sixty-eight thousand, four hundred eighty".