864500 has 96 divisors (see below), whose sum is σ = 2446080. Its totient is φ = 259200.

The previous prime is 864491. The next prime is 864503. The reversal of 864500 is 5468.

864500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45491 + ... + 45509.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2⁸⁶⁴⁵⁰⁰ 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 864500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223040).

864500 is an abundant number, since it is smaller than the sum of its proper divisors (1581580).

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

864500 is a wasteful number, since it uses less digits than its factorization.

864500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 864500 is about 929.7849213662. The cubic root of 864500 is about 95.2624322725.

Adding to 864500 its reverse (5468), we get a palindrome (869968).

The spelling of 864500 in words is "eight hundred sixty-four thousand, five hundred".