868224 has 128 divisors (see below), whose sum is σ = 2937600. Its totient is φ = 221184.

The previous prime is 868211. The next prime is 868229. The reversal of 868224 is 422868.

It is a happy number.

868224 is nontrivially palindromic in base 11.

868224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (6144) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 868191 and 868200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868229) by changing a digit.

868224 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 15 ways as a sum of consecutive naturals, for example, 45687 + ... + 45705.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁸⁶⁸²²⁴ is an apocalyptic number.

868224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800).

868224 is an abundant number, since it is smaller than the sum of its proper divisors (2069376).

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

868224 is a wasteful number, since it uses less digits than its factorization.

868224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 48 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 868224 is about 931.7853830148. The cubic root of 868224 is about 95.3990234112.

The spelling of 868224 in words is "eight hundred sixty-eight thousand, two hundred twenty-four".