27638642 has 8 divisors (see below), whose sum is σ = 41774832. Its totient is φ = 13713700.

The previous prime is 27638641. The next prime is 27638647. The reversal of 27638642 is 24683672.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×27638642³ (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27638596 and 27638605.

It is not an unprimeable number, because it can be changed into a prime (27638641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52484 + ... + 53007.

It is an arithmetic number, because the mean of its divisors is an integer number (5221854).

Almost surely, 2^27638642 is an apocalyptic number.

27638642 is a deficient number, since it is larger than the sum of its proper divisors (14136190).

27638642 is a wasteful number, since it uses less digits than its factorization.

27638642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105624.

The product of its digits is 96768, while the sum is 38.

The square root of 27638642 is about 5257.2466177649. The cubic root of 27638642 is about 302.3469325545.

The spelling of 27638642 in words is "twenty-seven million, six hundred thirty-eight thousand, six hundred forty-two".