85865000 has 80 divisors (see below), whose sum is σ = 216821220. Its totient is φ = 31680000.

The previous prime is 85864997. The next prime is 85865083. The reversal of 85865000 is 56858.

It can be written as a sum of positive squares in 10 ways, for example, as 4251844 + 81613156 = 2062^2 + 9034^2 .

It is an unprimeable number.

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, 64340 + ... + 65660.

Almost surely, 2^85865000 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 85865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108410610).

85865000 is an abundant number, since it is smaller than the sum of its proper divisors (130956220).

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

85865000 is a wasteful number, since it uses less digits than its factorization.

85865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1341 counting only the distinct ones).

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

The square root of 85865000 is about 9266.3369245889. The cubic root of 85865000 is about 441.1694099088.

The spelling of 85865000 in words is "eighty-five million, eight hundred sixty-five thousand".