853085000 has 80 divisors (see below), whose sum is σ = 2032271340. Its totient is φ = 335520000.

The previous prime is 853084961. The next prime is 853085011. The reversal of 853085000 is 580358.

It can be written as a sum of positive squares in 10 ways, for example, as 168844036 + 684240964 = 12994^2 + 26158^2 .

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, 303602 + ... + 306398.

Almost surely, 2^853085000 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 853085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016135670).

853085000 is an abundant number, since it is smaller than the sum of its proper divisors (1179186340).

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

853085000 is a wasteful number, since it uses less digits than its factorization.

853085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 853085000 is about 29207.6188690554. The cubic root of 853085000 is about 948.4128623569.

The spelling of 853085000 in words is "eight hundred fifty-three million, eighty-five thousand".