27959680 has 96 divisors (see below), whose sum is σ = 77369040. Its totient is φ = 9464832.

The previous prime is 27959669. The next prime is 27959719. The reversal of 27959680 is 8695972.

It is a super-4 number, since 4×27959680⁴ (a number of 31 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27959680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353881 + ... + 353959.

Almost surely, 2^27959680 is an apocalyptic number.

27959680 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 27959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38684520).

27959680 is an abundant number, since it is smaller than the sum of its proper divisors (49409360).

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

27959680 is an frugal number, since it uses more digits than its factorization.

27959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 27959680 is about 5287.6913676954. The cubic root of 27959680 is about 303.5130708979.

The spelling of 27959680 in words is "twenty-seven million, nine hundred fifty-nine thousand, six hundred eighty".