8229520 has 80 divisors (see below), whose sum is σ = 21217392. Its totient is φ = 2949120.

The previous prime is 8229511. The next prime is 8229541. The reversal of 8229520 is 259228.

It can be written as a sum of positive squares in 8 ways, for example, as 3283344 + 4946176 = 1812^2 + 2224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42544 + ... + 42736.

Almost surely, 2^8229520 is an apocalyptic number.

8229520 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 8229520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10608696).

8229520 is an abundant number, since it is smaller than the sum of its proper divisors (12987872).

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

8229520 is a wasteful number, since it uses less digits than its factorization.

8229520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 8229520 is about 2868.7139975954. The cubic root of 8229520 is about 201.8946612819.

The spelling of 8229520 in words is "eight million, two hundred twenty-nine thousand, five hundred twenty".