859360 has 48 divisors (see below), whose sum is σ = 2095632. Its totient is φ = 332800.

The previous prime is 859321. The next prime is 859361. The reversal of 859360 is 63958.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859361) 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, 6495 + ... + 6625.

It is an arithmetic number, because the mean of its divisors is an integer number (43659).

2⁸⁵⁹³⁶⁰ is an apocalyptic number.

859360 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 859360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047816).

859360 is an abundant number, since it is smaller than the sum of its proper divisors (1236272).

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

859360 is a wasteful number, since it uses less digits than its factorization.

859360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 859360 is about 927.0167204533. The cubic root of 859360 is about 95.0732583591.

Subtracting from 859360 its sum of digits (31), we obtain a square (859329 = 927²).

The spelling of 859360 in words is "eight hundred fifty-nine thousand, three hundred sixty".