27217680 has 160 divisors (see below), whose sum is σ = 102207744. Its totient is φ = 5849088.

The previous prime is 27217679. The next prime is 27217741. The reversal of 27217680 is 8671272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28084 + ... + 29036.

Almost surely, 2^27217680 is an apocalyptic number.

27217680 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 27217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51103872).

27217680 is an abundant number, since it is smaller than the sum of its proper divisors (74990064).

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

27217680 is a wasteful number, since it uses less digits than its factorization.

27217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 27217680 is about 5217.0566414407. The cubic root of 27217680 is about 300.8040652272.

It can be divided in two parts, 2721 and 7680, that added together give a palindrome (10401).

The spelling of 27217680 in words is "twenty-seven million, two hundred seventeen thousand, six hundred eighty".