859264 has 48 divisors (see below), whose sum is σ = 2005830. Its totient is φ = 365568.

The previous prime is 859259. The next prime is 859267. The reversal of 859264 is 462958.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 153664 = 840^2 + 392^2 .

It is not an unprimeable number, because it can be changed into a prime (859267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6204 + ... + 6340.

2⁸⁵⁹²⁶⁴ 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 859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002915).

859264 is an abundant number, since it is smaller than the sum of its proper divisors (1146566).

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

859264 is a wasteful number, since it uses less digits than its factorization.

859264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 859264 is about 926.9649400058. The cubic root of 859264 is about 95.0697179830.

The spelling of 859264 in words is "eight hundred fifty-nine thousand, two hundred sixty-four".