27766116 has 36 divisors (see below), whose sum is σ = 80213952. Its totient is φ = 7933104.

The previous prime is 27766093. The next prime is 27766127. The reversal of 27766116 is 61166772.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54840 + ... + 55343.

Almost surely, 2^27766116 is an apocalyptic number.

It is an amenable number.

27766116 is an abundant number, since it is smaller than the sum of its proper divisors (52447836).

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

27766116 is a wasteful number, since it uses less digits than its factorization.

27766116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110200 (or 110195 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 27766116 is about 5269.3563174263. The cubic root of 27766116 is about 302.8110444933.

The spelling of 27766116 in words is "twenty-seven million, seven hundred sixty-six thousand, one hundred sixteen".