8221824 has 160 divisors (see below), whose sum is σ = 26782140. Its totient is φ = 2488320.

The previous prime is 8221823. The next prime is 8221831. The reversal of 8221824 is 4281228.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 1871424 = 2520^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (8221823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134754 + ... + 134814.

Almost surely, 2^8221824 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 8221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391070).

8221824 is an abundant number, since it is smaller than the sum of its proper divisors (18560316).

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

8221824 is a wasteful number, since it uses less digits than its factorization.

8221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 8221824 is about 2867.3723162505. The cubic root of 8221824 is about 201.8317063783.

It can be divided in two parts, 8221 and 824, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8221824 in words is "eight million, two hundred twenty-one thousand, eight hundred twenty-four".