27680816 has 20 divisors (see below), whose sum is σ = 53772600. Its totient is φ = 13804032.

The previous prime is 27680813. The next prime is 27680831. The reversal of 27680816 is 61808672.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27680816.

It is not an unprimeable number, because it can be changed into a prime (27680813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4640 + ... + 8768.

It is an arithmetic number, because the mean of its divisors is an integer number (2688630).

Almost surely, 2^27680816 is an apocalyptic number.

It is an amenable number.

27680816 is a deficient number, since it is larger than the sum of its proper divisors (26091784).

27680816 is a wasteful number, since it uses less digits than its factorization.

27680816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 27680816 is about 5261.2561237788. The cubic root of 27680816 is about 302.5006388439.

The spelling of 27680816 in words is "twenty-seven million, six hundred eighty thousand, eight hundred sixteen".