863968 has 72 divisors (see below), whose sum is σ = 2154600. Its totient is φ = 338688.

The previous prime is 863959. The next prime is 863983. The reversal of 863968 is 869368.

863968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (62208) is a multiple of the sum of its prime factors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 863968.

It is a congruent number.

It is an unprimeable number.

863968 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 11 ways as a sum of consecutive naturals, for example, 29778 + ... + 29806.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2⁸⁶³⁹⁶⁸ 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 863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077300).

863968 is an abundant number, since it is smaller than the sum of its proper divisors (1290632).

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

863968 is a wasteful number, since it uses less digits than its factorization.

863968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 863968 is about 929.4987896711. The cubic root of 863968 is about 95.2428872509.

The spelling of 863968 in words is "eight hundred sixty-three thousand, nine hundred sixty-eight".