27638336 has 84 divisors (see below), whose sum is σ = 62429136. Its totient is φ = 12122880.

The previous prime is 27638323. The next prime is 27638339. The reversal of 27638336 is 63383672.

It is a super-3 number, since 3×27638336³ (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27638336.

It is not an unprimeable number, because it can be changed into a prime (27638339) 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 11 ways as a sum of consecutive naturals, for example, 332951 + ... + 333033.

It is an arithmetic number, because the mean of its divisors is an integer number (743204).

Almost surely, 2^27638336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27638336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31214568).

27638336 is an abundant number, since it is smaller than the sum of its proper divisors (34790800).

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

27638336 is a wasteful number, since it uses less digits than its factorization.

27638336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its digits is 108864, while the sum is 38.

The square root of 27638336 is about 5257.2175149978. The cubic root of 27638336 is about 302.3458167435.

The spelling of 27638336 in words is "twenty-seven million, six hundred thirty-eight thousand, three hundred thirty-six".