868680 has 96 divisors (see below), whose sum is σ = 2995200. Its totient is φ = 217728.

The previous prime is 868669. The next prime is 868691. The reversal of 868680 is 86868.

It is an interprime number because it is at equal distance from previous prime (868669) and next prime (868691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

868680 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, 6777 + ... + 6903.

It is an arithmetic number, because the mean of its divisors is an integer number (31200).

2⁸⁶⁸⁶⁸⁰ 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 868680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497600).

868680 is an abundant number, since it is smaller than the sum of its proper divisors (2126520).

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

868680 is a wasteful number, since it uses less digits than its factorization.

868680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 868680 is about 932.0300424343. The cubic root of 868680 is about 95.4157219978.

The spelling of 868680 in words is "eight hundred sixty-eight thousand, six hundred eighty".