27682256 has 120 divisors (see below), whose sum is σ = 69209856. Its totient is φ = 10644480.

The previous prime is 27682247. The next prime is 27682279. The reversal of 27682256 is 65228672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413135 + ... + 413201.

Almost surely, 2^27682256 is an apocalyptic number.

27682256 is the 3038-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27682256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34604928).

27682256 is an abundant number, since it is smaller than the sum of its proper divisors (41527600).

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

27682256 is a wasteful number, since it uses less digits than its factorization.

27682256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 27682256 is about 5261.3929714478. The cubic root of 27682256 is about 302.5058842741.

The spelling of 27682256 in words is "twenty-seven million, six hundred eighty-two thousand, two hundred fifty-six".