27066312 has 256 divisors, whose sum is σ = 99187200. Its totient is φ = 6718464.

The previous prime is 27066293. The next prime is 27066323. The reversal of 27066312 is 21366072.

It is a happy number.

27066312 is a `hidden beast` number, since 27 + 0 + 6 + 631 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1592128 + ... + 1592144.

It is an arithmetic number, because the mean of its divisors is an integer number (387450).

Almost surely, 2^27066312 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 27066312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49593600).

27066312 is an abundant number, since it is smaller than the sum of its proper divisors (72120888).

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

27066312 is a wasteful number, since it uses less digits than its factorization.

27066312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27066312 is about 5202.5293848281. The cubic root of 27066312 is about 300.2453992094.

The spelling of 27066312 in words is "twenty-seven million, sixty-six thousand, three hundred twelve".