868008 has 32 divisors (see below), whose sum is σ = 2210400. Its totient is φ = 283968.

The previous prime is 867991. The next prime is 868019. The reversal of 868008 is 800868.

It is an unprimeable number.

868008 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1110 + ... + 1722.

It is an arithmetic number, because the mean of its divisors is an integer number (69075).

2⁸⁶⁸⁰⁰⁸ 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 868008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105200).

868008 is an abundant number, since it is smaller than the sum of its proper divisors (1342392).

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

868008 is a wasteful number, since it uses less digits than its factorization.

868008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 868008 is about 931.6694692862. The cubic root of 868008 is about 95.3911115136.

The spelling of 868008 in words is "eight hundred sixty-eight thousand, eight".