865085000 has 80 divisors (see below), whose sum is σ = 2182973100. Its totient is φ = 319392000.

The previous prime is 865084999. The next prime is 865085009. The reversal of 865085000 is 580568.

It can be written as a sum of positive squares in 10 ways, for example, as 470109124 + 394975876 = 21682^2 + 19874^2 .

It is not an unprimeable number, because it can be changed into a prime (865085009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58346 + ... + 71654.

Almost surely, 2^865085000 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 865085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091486550).

865085000 is an abundant number, since it is smaller than the sum of its proper divisors (1317888100).

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

865085000 is a wasteful number, since it uses less digits than its factorization.

865085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13348 (or 13329 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 865085000 is about 29412.3273475596. The cubic root of 865085000 is about 952.8391519411.

The spelling of 865085000 in words is "eight hundred sixty-five million, eighty-five thousand".