27600066 has 72 divisors (see below), whose sum is σ = 66573936. Its totient is φ = 8255520.

The previous prime is 27600049. The next prime is 27600071. The reversal of 27600066 is 66000672.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130701 + ... + 130911.

It is an arithmetic number, because the mean of its divisors is an integer number (924638).

Almost surely, 2^27600066 is an apocalyptic number.

27600066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27600066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33286968).

27600066 is an abundant number, since it is smaller than the sum of its proper divisors (38973870).

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

27600066 is a wasteful number, since it uses less digits than its factorization.

27600066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

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

The square root of 27600066 is about 5253.5764960644. The cubic root of 27600066 is about 302.2062024641.

The spelling of 27600066 in words is "twenty-seven million, six hundred thousand, sixty-six".