27638496 has 60 divisors (see below), whose sum is σ = 81291672. Its totient is φ = 9211968.

The previous prime is 27638489. The next prime is 27638539. The reversal of 27638496 is 69483672.

27638496 is a `hidden beast` number, since 2 + 7 + 638 + 4 + 9 + 6 = 666.

It is a super-3 number, since 3×27638496³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 2740 + ... + 7923.

Almost surely, 2^27638496 is an apocalyptic number.

It is an amenable number.

27638496 is an abundant number, since it is smaller than the sum of its proper divisors (53653176).

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

27638496 is a wasteful number, since it uses less digits than its factorization.

27638496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10685 (or 10668 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 27638496 is about 5257.2327321510. The cubic root of 27638496 is about 302.3464001751.

The spelling of 27638496 in words is "twenty-seven million, six hundred thirty-eight thousand, four hundred ninety-six".