866768 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 362880.

The previous prime is 866759. The next prime is 866777. The reversal of 866768 is 867668.

866768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (866759) and next prime (866777).

Its product of digits (96768) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is an unprimeable number.

866768 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 7 ways as a sum of consecutive naturals, for example, 7898 + ... + 8006.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁸⁶⁶⁷⁶⁸ 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 866768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

866768 is an abundant number, since it is smaller than the sum of its proper divisors (1097392).

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

866768 is a wasteful number, since it uses less digits than its factorization.

866768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 866768 is about 931.0037593909. The cubic root of 866768 is about 95.3456659460.

Subtracting 866768 from its reverse (867668), we obtain a square (900 = 30²).

The spelling of 866768 in words is "eight hundred sixty-six thousand, seven hundred sixty-eight".