27630688 has 24 divisors (see below), whose sum is σ = 54521208. Its totient is φ = 13784064.

The previous prime is 27630683. The next prime is 27630697. The reversal of 27630688 is 88603672.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27630688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27630683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20895 + ... + 22177.

It is an arithmetic number, because the mean of its divisors is an integer number (2271717).

Almost surely, 2^27630688 is an apocalyptic number.

It is an amenable number.

27630688 is a deficient number, since it is larger than the sum of its proper divisors (26890520).

27630688 is a wasteful number, since it uses less digits than its factorization.

27630688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 27630688 is about 5256.4900836965. The cubic root of 27630688 is about 302.3179260855.

The spelling of 27630688 in words is "twenty-seven million, six hundred thirty thousand, six hundred eighty-eight".