27639680 has 64 divisors (see below), whose sum is σ = 69584400. Its totient is φ = 10469376.

The previous prime is 27639679. The next prime is 27639683. The reversal of 27639680 is 8693672.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27639683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11024 + ... + 13296.

Almost surely, 2^27639680 is an apocalyptic number.

27639680 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 27639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34792200).

27639680 is an abundant number, since it is smaller than the sum of its proper divisors (41944720).

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

27639680 is a wasteful number, since it uses less digits than its factorization.

27639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 27639680 is about 5257.3453377156. The cubic root of 27639680 is about 302.3507174991.

The spelling of 27639680 in words is "twenty-seven million, six hundred thirty-nine thousand, six hundred eighty".