27673216 has 32 divisors (see below), whose sum is σ = 55692000. Its totient is φ = 13695744.

The previous prime is 27673207. The next prime is 27673231. The reversal of 27673216 is 61237672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12135 + ... + 14233.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^27673216 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 27673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

27673216 is an abundant number, since it is smaller than the sum of its proper divisors (28018784).

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

27673216 is a wasteful number, since it uses less digits than its factorization.

27673216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2204 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 27673216 is about 5260.5338132171. The cubic root of 27673216 is about 302.4729516147.

It can be divided in two parts, 27673 and 216, that added together give a square (27889 = 167²).

The spelling of 27673216 in words is "twenty-seven million, six hundred seventy-three thousand, two hundred sixteen".