860985000 has 360 divisors, whose sum is σ = 3133317330. Its totient is φ = 213408000.

The previous prime is 860984989. The next prime is 860985011. The reversal of 860985000 is 589068.

860985000 is a `hidden beast` number, since 8 + 60 + 98 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (860984989) and next prime (860985011).

It can be written as a sum of positive squares in 5 ways, for example, as 42224004 + 818760996 = 6498^2 + 28614^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 16244974 + ... + 16245026.

Almost surely, 2^860985000 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 860985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566658665).

860985000 is an abundant number, since it is smaller than the sum of its proper divisors (2272332330).

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

860985000 is a wasteful number, since it uses less digits than its factorization.

860985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 860985000 is about 29342.5459018130. The cubic root of 860985000 is about 951.3314663535.

The spelling of 860985000 in words is "eight hundred sixty million, nine hundred eighty-five thousand".