864288 has 36 divisors (see below), whose sum is σ = 2458638. Its totient is φ = 288000.

The previous prime is 864277. The next prime is 864289. The reversal of 864288 is 882468.

864288 is a `hidden beast` number, since 8 + 642 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 138384 = 852^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (864289) by changing a digit.

864288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1213 + ... + 1788.

2⁸⁶⁴²⁸⁸ is an apocalyptic number.

It is an amenable number.

864288 is an abundant number, since it is smaller than the sum of its proper divisors (1594350).

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

864288 is a wasteful number, since it uses less digits than its factorization.

864288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3006 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 864288 is about 929.6709095158. The cubic root of 864288 is about 95.2546446161.

It can be divided in two parts, 86428 and 8, that added together give a square (86436 = 294²).

The spelling of 864288 in words is "eight hundred sixty-four thousand, two hundred eighty-eight".