866880 has 168 divisors, whose sum is σ = 3486912. Its totient is φ = 193536.

The previous prime is 866869. The next prime is 866909. The reversal of 866880 is 88668.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

866880 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 23 ways as a sum of consecutive naturals, for example, 20139 + ... + 20181.

2⁸⁶⁶⁸⁸⁰ is an apocalyptic number.

866880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743456).

866880 is an abundant number, since it is smaller than the sum of its proper divisors (2620032).

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

866880 is a wasteful number, since it uses less digits than its factorization.

866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

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

The square root of 866880 is about 931.0639075810. The cubic root of 866880 is about 95.3497724869.

The spelling of 866880 in words is "eight hundred sixty-six thousand, eight hundred eighty".