8229120 has 72 divisors (see below), whose sum is σ = 26294016. Its totient is φ = 2193408.

The previous prime is 8229107. The next prime is 8229131. The reversal of 8229120 is 219228.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2769 + ... + 4911.

Almost surely, 2^8229120 is an apocalyptic number.

8229120 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 8229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13147008).

8229120 is an abundant number, since it is smaller than the sum of its proper divisors (18064896).

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

8229120 is a wasteful number, since it uses less digits than its factorization.

8229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8229120 is about 2868.6442790977. The cubic root of 8229120 is about 201.8913901647.

The spelling of 8229120 in words is "eight million, two hundred twenty-nine thousand, one hundred twenty".