8085627 has 48 divisors (see below), whose sum is σ = 13747968. Its totient is φ = 4530240.

The previous prime is 8085619. The next prime is 8085643. The reversal of 8085627 is 7265808.

It is not a de Polignac number, because 8085627 - 2³ = 8085619 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8085591 and 8085600.

It is not an unprimeable number, because it can be changed into a prime (8085617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120648 + ... + 120714.

It is an arithmetic number, because the mean of its divisors is an integer number (286416).

Almost surely, 2^8085627 is an apocalyptic number.

8085627 is a deficient number, since it is larger than the sum of its proper divisors (5662341).

8085627 is a wasteful number, since it uses less digits than its factorization.

8085627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8085627 is about 2843.5236942920. The cubic root of 8085627 is about 200.7110275370.

The spelling of 8085627 in words is "eight million, eighty-five thousand, six hundred twenty-seven".