863568 has 40 divisors (see below), whose sum is σ = 2480000. Its totient is φ = 287712.

The previous prime is 863561. The next prime is 863593. The reversal of 863568 is 865368.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863561) by changing a digit.

863568 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 7 ways as a sum of consecutive naturals, for example, 568 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (62000).

2⁸⁶³⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

863568 is an abundant number, since it is smaller than the sum of its proper divisors (1616432).

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

863568 is a wasteful number, since it uses less digits than its factorization.

863568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2004 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 863568 is about 929.2835950344. The cubic root of 863568 is about 95.2281864612.

It can be divided in two parts, 863 and 568, that added together give a triangular number (1431 = T₅₃).

The spelling of 863568 in words is "eight hundred sixty-three thousand, five hundred sixty-eight".