27327312 has 120 divisors (see below), whose sum is σ = 82328064. Its totient is φ = 8439552.

The previous prime is 27327299. The next prime is 27327319. The reversal of 27327312 is 21372372.

27327312 = 1079² + 1080² + ... + 1101².

It is a happy number.

27327312 is a `hidden beast` number, since 27 + 327 + 312 = 666.

It is a super-2 number, since 2×27327312² = 1493563962290688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27327319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122433 + ... + 122655.

Almost surely, 2^27327312 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 27327312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41164032).

27327312 is an abundant number, since it is smaller than the sum of its proper divisors (55000752).

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

27327312 is a wasteful number, since it uses less digits than its factorization.

27327312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 27327312 is about 5227.5531561142. The cubic root of 27327312 is about 301.2074007589.

Adding to 27327312 its reverse (21372372), we get a palindrome (48699684).

The spelling of 27327312 in words is "twenty-seven million, three hundred twenty-seven thousand, three hundred twelve".