27680000 has 90 divisors (see below), whose sum is σ = 69441834. Its totient is φ = 11008000.

The previous prime is 27679991. The next prime is 27680011. The reversal of 27680000 is 8672.

It can be written as a sum of positive squares in 5 ways, for example, as 4946176 + 22733824 = 2224^2 + 4768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159914 + ... + 160086.

Almost surely, 2^27680000 is an apocalyptic number.

27680000 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 27680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34720917).

27680000 is an abundant number, since it is smaller than the sum of its proper divisors (41761834).

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

27680000 is an frugal number, since it uses more digits than its factorization.

27680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 27680000 is about 5261.1785751864. The cubic root of 27680000 is about 302.4976663527.

Adding to 27680000 its reverse (8672), we get a palindrome (27688672).

The spelling of 27680000 in words is "twenty-seven million, six hundred eighty thousand".