8022947520 has 224 divisors, whose sum is σ = 29187648000. Its totient is φ = 1829044224.

The previous prime is 8022947509. The next prime is 8022947521. The reversal of 8022947520 is 257492208.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (8022947521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3015951 + ... + 3018609.

It is an arithmetic number, because the mean of its divisors is an integer number (130302000).

Almost surely, 2^8022947520 is an apocalyptic number.

8022947520 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 8022947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824000).

8022947520 is an abundant number, since it is smaller than the sum of its proper divisors (21164700480).

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

8022947520 is a wasteful number, since it uses less digits than its factorization.

8022947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 8022947520 is about 89570.9077770232. The cubic root of 8022947520 is about 2001.9104678086.

The spelling of 8022947520 in words is "eight billion, twenty-two million, nine hundred forty-seven thousand, five hundred twenty".