868500 has 72 divisors (see below), whose sum is σ = 2754024. Its totient is φ = 230400.

The previous prime is 868493. The next prime is 868529. The reversal of 868500 is 5868.

It can be written as a sum of positive squares in 4 ways, for example, as 101124 + 767376 = 318^2 + 876^2 .

It is a congruent number.

It is an unprimeable number.

868500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4404 + ... + 4596.

2⁸⁶⁸⁵⁰⁰ 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 868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377012).

868500 is an abundant number, since it is smaller than the sum of its proper divisors (1885524).

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

868500 is a wasteful number, since it uses less digits than its factorization.

868500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 868500 is about 931.9334740205. The cubic root of 868500 is about 95.4091311487.

The spelling of 868500 in words is "eight hundred sixty-eight thousand, five hundred".