8123220 has 144 divisors (see below), whose sum is σ = 29494080. Its totient is φ = 1850688.

The previous prime is 8123197. The next prime is 8123233. The reversal of 8123220 is 223218.

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 = 8123193 and 8123202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26307 + ... + 26613.

It is an arithmetic number, because the mean of its divisors is an integer number (204820).

Almost surely, 2^8123220 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 8123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747040).

8123220 is an abundant number, since it is smaller than the sum of its proper divisors (21370860).

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

8123220 is a wasteful number, since it uses less digits than its factorization.

8123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

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

The square root of 8123220 is about 2850.1263129904. The cubic root of 8123220 is about 201.0216060535.

Adding to 8123220 its reverse (223218), we get a palindrome (8346438).

The spelling of 8123220 in words is "eight million, one hundred twenty-three thousand, two hundred twenty".