8085216627 has 6 divisors (see below), whose sum is σ = 11678646252. Its totient is φ = 5390144412.

The previous prime is 8085216593. The next prime is 8085216637. The reversal of 8085216627 is 7266125808.

8085216627 is a `hidden beast` number, since 8 + 0 + 8 + 5 + 2 + 16 + 627 = 666.

It is not a de Polignac number, because 8085216627 - 2⁶ = 8085216563 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8085216637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 449178693 + ... + 449178710.

It is an arithmetic number, because the mean of its divisors is an integer number (1946441042).

Almost surely, 2^8085216627 is an apocalyptic number.

8085216627 is a deficient number, since it is larger than the sum of its proper divisors (3593429625).

8085216627 is a wasteful number, since it uses less digits than its factorization.

8085216627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898357409 (or 898357406 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8085216627 is about 89917.8326418069. The cubic root of 8085216627 is about 2007.0763189102.

It can be divided in two parts, 80852 and 16627, that added together give a palindrome (97479).

The spelling of 8085216627 in words is "eight billion, eighty-five million, two hundred sixteen thousand, six hundred twenty-seven".