864300 has 72 divisors (see below), whose sum is σ = 2597056. Its totient is φ = 221760.

The previous prime is 864299. The next prime is 864301. The reversal of 864300 is 3468.

It is an interprime number because it is at equal distance from previous prime (864299) and next prime (864301).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864300.

It is not an unprimeable number, because it can be changed into a prime (864301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12867 + ... + 12933.

2⁸⁶⁴³⁰⁰ 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 864300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298528).

864300 is an abundant number, since it is smaller than the sum of its proper divisors (1732756).

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

864300 is a wasteful number, since it uses less digits than its factorization.

864300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 864300 is about 929.6773633901. The cubic root of 864300 is about 95.2550854609.

Adding to 864300 its reverse (3468), we get a palindrome (867768).

The spelling of 864300 in words is "eight hundred sixty-four thousand, three hundred".