8223120 has 160 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 2146176.

The previous prime is 8223119. The next prime is 8223133. The reversal of 8223120 is 213228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8223093 and 8223102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174937 + ... + 174983.

It is an arithmetic number, because the mean of its divisors is an integer number (183024).

Almost surely, 2^8223120 is an apocalyptic number.

8223120 is a gapful number since it is divisible by the number (80) 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 8223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641920).

8223120 is an abundant number, since it is smaller than the sum of its proper divisors (21060720).

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

8223120 is an equidigital number, since it uses as much as digits as its factorization.

8223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8223120 is about 2867.5982982280. The cubic root of 8223120 is about 201.8423106817.

Adding to 8223120 its reverse (213228), we get a palindrome (8436348).

The spelling of 8223120 in words is "eight million, two hundred twenty-three thousand, one hundred twenty".