859104 has 72 divisors (see below), whose sum is σ = 2588040. Its totient is φ = 269568.

The previous prime is 859093. The next prime is 859109. The reversal of 859104 is 401958.

859104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859109) 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, 5394 + ... + 5550.

It is an arithmetic number, because the mean of its divisors is an integer number (35945).

2⁸⁵⁹¹⁰⁴ 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 859104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294020).

859104 is an abundant number, since it is smaller than the sum of its proper divisors (1728936).

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

859104 is a wasteful number, since it uses less digits than its factorization.

859104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 859104 is about 926.8786328317. The cubic root of 859104 is about 95.0638167703.

The spelling of 859104 in words is "eight hundred fifty-nine thousand, one hundred four".