868824 has 48 divisors (see below), whose sum is σ = 2569320. Its totient is φ = 263040.

The previous prime is 868817. The next prime is 868841. The reversal of 868824 is 428868.

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 a plaindrome in base 14 and base 15.

It is a congruent number.

It is an unprimeable number.

868824 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, 244 + ... + 1340.

2⁸⁶⁸⁸²⁴ 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 868824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284660).

868824 is an abundant number, since it is smaller than the sum of its proper divisors (1700496).

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

868824 is a wasteful number, since it uses less digits than its factorization.

868824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1113 counting only the distinct ones).

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

The square root of 868824 is about 932.1072899618. The cubic root of 868824 is about 95.4209940216.

The spelling of 868824 in words is "eight hundred sixty-eight thousand, eight hundred twenty-four".