9868824 has 128 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 2747520.

The previous prime is 9868813. The next prime is 9868829. The reversal of 9868824 is 4288689.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9868824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9868829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92179 + ... + 92285.

It is an arithmetic number, because the mean of its divisors is an integer number (251100).

Almost surely, 2^9868824 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 9868824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

9868824 is an abundant number, since it is smaller than the sum of its proper divisors (22271976).

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

9868824 is a wasteful number, since it uses less digits than its factorization.

9868824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 9868824 is about 3141.4684464435. The cubic root of 9868824 is about 214.4972858965.

The spelling of 9868824 in words is "nine million, eight hundred sixty-eight thousand, eight hundred twenty-four".