27066000 has 160 divisors (see below), whose sum is σ = 94243968. Its totient is φ = 6643200.

The previous prime is 27065993. The next prime is 27066029. The reversal of 27066000 is 66072.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77827 + ... + 78173.

Almost surely, 2^27066000 is an apocalyptic number.

27066000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47121984).

27066000 is an abundant number, since it is smaller than the sum of its proper divisors (67177968).

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

27066000 is a wasteful number, since it uses less digits than its factorization.

27066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 27066000 is about 5202.4993993272. The cubic root of 27066000 is about 300.2442455375.

The spelling of 27066000 in words is "twenty-seven million, sixty-six thousand".