866801 has 12 divisors (see below), whose sum is σ = 983808. Its totient is φ = 761904.

The previous prime is 866783. The next prime is 866819. The reversal of 866801 is 108668.

It is an interprime number because it is at equal distance from previous prime (866783) and next prime (866819).

It is not a de Polignac number, because 866801 - 2⁶ = 866737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (866851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3776 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (81984).

2⁸⁶⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

866801 is a deficient number, since it is larger than the sum of its proper divisors (117007).

866801 is a wasteful number, since it uses less digits than its factorization.

866801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 866801 is about 931.0214820293. The cubic root of 866801 is about 95.3468759457.

The spelling of 866801 in words is "eight hundred sixty-six thousand, eight hundred one".