85185000 has 160 divisors (see below), whose sum is σ = 296155200. Its totient is φ = 22680000.

The previous prime is 85184987. The next prime is 85185041. The reversal of 85185000 is 58158.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 134685 + ... + 135315.

It is an arithmetic number, because the mean of its divisors is an integer number (1850970).

Almost surely, 2^85185000 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 85185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148077600).

85185000 is an abundant number, since it is smaller than the sum of its proper divisors (210970200).

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

85185000 is a wasteful number, since it uses less digits than its factorization.

85185000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 85185000 is about 9229.5720377491. The cubic root of 85185000 is about 440.0017217563.

The spelling of 85185000 in words is "eighty-five million, one hundred eighty-five thousand".