866688 has 64 divisors (see below), whose sum is σ = 2403120. Its totient is φ = 276480.

The previous prime is 866683. The next prime is 866689. The reversal of 866688 is 886668.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×866688² = 1502296178688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14178 + ... + 14238.

2⁸⁶⁶⁶⁸⁸ 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 866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201560).

866688 is an abundant number, since it is smaller than the sum of its proper divisors (1536432).

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

866688 is a wasteful number, since it uses less digits than its factorization.

866688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 866688 is about 930.9607940187. The cubic root of 866688 is about 95.3427324859.

The spelling of 866688 in words is "eight hundred sixty-six thousand, six hundred eighty-eight".