8225997120 has 672 divisors, whose sum is σ = 32751613440. Its totient is φ = 1948354560.

The previous prime is 8225997083. The next prime is 8225997163. The reversal of 8225997120 is 217995228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50466159 + ... + 50466321.

It is an arithmetic number, because the mean of its divisors is an integer number (48737520).

Almost surely, 2^8225997120 is an apocalyptic number.

8225997120 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 8225997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375806720).

8225997120 is an abundant number, since it is smaller than the sum of its proper divisors (24525616320).

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

8225997120 is a wasteful number, since it uses less digits than its factorization.

8225997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 8225997120 is about 90697.2828699956. The cubic root of 8225997120 is about 2018.6584825360.

The spelling of 8225997120 in words is "eight billion, two hundred twenty-five million, nine hundred ninety-seven thousand, one hundred twenty".