27874336 has 72 divisors (see below), whose sum is σ = 66146220. Its totient is φ = 11515392.

The previous prime is 27874333. The next prime is 27874351. The reversal of 27874336 is 63347872.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24561936 + 3312400 = 4956^2 + 1820^2 .

It is not an unprimeable number, because it can be changed into a prime (27874333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45166 + ... + 45778.

Almost surely, 2^27874336 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 27874336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33073110).

27874336 is an abundant number, since it is smaller than the sum of its proper divisors (38271884).

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

27874336 is a wasteful number, since it uses less digits than its factorization.

27874336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its digits is 169344, while the sum is 40.

The square root of 27874336 is about 5279.6151374887. The cubic root of 27874336 is about 303.2039421844.

The spelling of 27874336 in words is "twenty-seven million, eight hundred seventy-four thousand, three hundred thirty-six".