27688560 has 80 divisors (see below), whose sum is σ = 87863424. Its totient is φ = 7209216.

The previous prime is 27688537. The next prime is 27688561. The reversal of 27688560 is 6588672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27688561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8979 + ... + 11661.

Almost surely, 2^27688560 is an apocalyptic number.

27688560 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 27688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43931712).

27688560 is an abundant number, since it is smaller than the sum of its proper divisors (60174864).

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

27688560 is a wasteful number, since it uses less digits than its factorization.

27688560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 27688560 is about 5261.9920182380. The cubic root of 27688560 is about 302.5288454609.

The spelling of 27688560 in words is "twenty-seven million, six hundred eighty-eight thousand, five hundred sixty".