866160 has 80 divisors (see below), whose sum is σ = 2990880. Its totient is φ = 230400.

The previous prime is 866123. The next prime is 866161. The reversal of 866160 is 61668.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1960 + ... + 2360.

It is an arithmetic number, because the mean of its divisors is an integer number (37386).

2⁸⁶⁶¹⁶⁰ is an apocalyptic number.

866160 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 866160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495440).

866160 is an abundant number, since it is smaller than the sum of its proper divisors (2124720).

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

866160 is a wasteful number, since it uses less digits than its factorization.

866160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 866160 is about 930.6771728156. The cubic root of 866160 is about 95.3233671207.

The spelling of 866160 in words is "eight hundred sixty-six thousand, one hundred sixty".