27638664 has 16 divisors (see below), whose sum is σ = 69096720. Its totient is φ = 9212880.

The previous prime is 27638657. The next prime is 27638707. The reversal of 27638664 is 46683672.

It is a super-3 number, since 3×27638664³ (a number of 23 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 575782 + ... + 575829.

It is an arithmetic number, because the mean of its divisors is an integer number (4318545).

Almost surely, 2^27638664 is an apocalyptic number.

27638664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27638664 is an abundant number, since it is smaller than the sum of its proper divisors (41458056).

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

27638664 is a wasteful number, since it uses less digits than its factorization.

27638664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151620 (or 1151616 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 27638664 is about 5257.2487101144. The cubic root of 27638664 is about 302.3470127759.

The spelling of 27638664 in words is "twenty-seven million, six hundred thirty-eight thousand, six hundred sixty-four".