27663216 has 160 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 7139328.

The previous prime is 27663203. The next prime is 27663217. The reversal of 27663216 is 61236672.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27663217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165565 + ... + 165731.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^27663216 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 27663216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

27663216 is an abundant number, since it is smaller than the sum of its proper divisors (62331024).

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

27663216 is a wasteful number, since it uses less digits than its factorization.

27663216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 27663216 is about 5259.5832534527. The cubic root of 27663216 is about 302.4365133257.

Adding to 27663216 its reverse (61236672), we get a palindrome (88899888).

The spelling of 27663216 in words is "twenty-seven million, six hundred sixty-three thousand, two hundred sixteen".