868000 has 96 divisors (see below), whose sum is σ = 2515968. Its totient is φ = 288000.

The previous prime is 867991. The next prime is 868019. The reversal of 868000 is 868.

868000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

868000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27985 + ... + 28015.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2⁸⁶⁸⁰⁰⁰ is an apocalyptic number.

868000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984).

868000 is an abundant number, since it is smaller than the sum of its proper divisors (1647968).

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

868000 is a wasteful number, since it uses less digits than its factorization.

868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 868000 is about 931.6651759082. The cubic root of 868000 is about 95.3908184552.

Adding to 868000 its reverse (868), we get a palindrome (868868).

868000 divided by its reverse (868) gives a cube (1000 = 10³).

The spelling of 868000 in words is "eight hundred sixty-eight thousand".