866304 has 72 divisors (see below), whose sum is σ = 2555280. Its totient is φ = 282624.

The previous prime is 866293. The next prime is 866309. The reversal of 866304 is 403668.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18409 + ... + 18455.

It is an arithmetic number, because the mean of its divisors is an integer number (35490).

2⁸⁶⁶³⁰⁴ 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 866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277640).

866304 is an abundant number, since it is smaller than the sum of its proper divisors (1688976).

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

866304 is a wasteful number, since it uses less digits than its factorization.

866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 866304 is about 930.7545326239. The cubic root of 866304 is about 95.3286493643.

The spelling of 866304 in words is "eight hundred sixty-six thousand, three hundred four".