864768 has 40 divisors (see below), whose sum is σ = 2307888. Its totient is φ = 287744.

The previous prime is 864757. The next prime is 864781. The reversal of 864768 is 867468.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864768.

It is an unprimeable number.

864768 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 3 ways as a sum of consecutive naturals, for example, 1255 + ... + 1817.

2⁸⁶⁴⁷⁶⁸ 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 864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153944).

864768 is an abundant number, since it is smaller than the sum of its proper divisors (1443120).

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

864768 is an equidigital number, since it uses as much as digits as its factorization.

864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 864768 is about 929.9290295501. The cubic root of 864768 is about 95.2722752237.

The spelling of 864768 in words is "eight hundred sixty-four thousand, seven hundred sixty-eight".