27688644 has 27 divisors (see below), whose sum is σ = 70070637. Its totient is φ = 9219024.

The previous prime is 27688627. The next prime is 27688657. The reversal of 27688644 is 44688672.

The square root of 27688644 is 5262.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23328900 + 4359744 = 4830^2 + 2088^2 .

It is a super-2 number, since 2×27688644² = 1533322013117472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27688644.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31134 + ... + 32010.

Almost surely, 2^27688644 is an apocalyptic number.

27688644 is the 5262-nd square number.

It is an amenable number.

27688644 is an abundant number, since it is smaller than the sum of its proper divisors (42381993).

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

27688644 is an equidigital number, since it uses as much as digits as its factorization.

27688644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 882 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The cubic root of 27688644 is about 302.5291513923.

The spelling of 27688644 in words is "twenty-seven million, six hundred eighty-eight thousand, six hundred forty-four".