85645188 has 60 divisors (see below), whose sum is σ = 231142912. Its totient is φ = 27624240.

The previous prime is 85645177. The next prime is 85645199. The reversal of 85645188 is 88154658.

85645188 is a `hidden beast` number, since 8 + 564 + 5 + 1 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (85645177) and next prime (85645199).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5781 + ... + 14307.

Almost surely, 2^85645188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85645188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115571456).

85645188 is an abundant number, since it is smaller than the sum of its proper divisors (145497724).

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

85645188 is a wasteful number, since it uses less digits than its factorization.

85645188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 8563 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 85645188 is about 9254.4685422773. The cubic root of 85645188 is about 440.7926277556.

The spelling of 85645188 in words is "eighty-five million, six hundred forty-five thousand, one hundred eighty-eight".