868868 has 72 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 302400.

The previous prime is 868867. The next prime is 868873.

868868 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (147456) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (868867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28013 + ... + 28043.

It is an arithmetic number, because the mean of its divisors is an integer number (29792).

2⁸⁶⁸⁸⁶⁸ 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 868868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

868868 is an abundant number, since it is smaller than the sum of its proper divisors (1276156).

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

868868 is a wasteful number, since it uses less digits than its factorization.

868868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 868868 is about 932.1308920962. The cubic root of 868868 is about 95.4226048015.

The spelling of 868868 in words is "eight hundred sixty-eight thousand, eight hundred sixty-eight".