8192997120 has 576 divisors, whose sum is σ = 33036272640. Its totient is φ = 1695006720.

The previous prime is 8192997073. The next prime is 8192997149. The reversal of 8192997120 is 217992918.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8192997120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35777166 + ... + 35777394.

It is an arithmetic number, because the mean of its divisors is an integer number (57354640).

Almost surely, 2^8192997120 is an apocalyptic number.

8192997120 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 8192997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518136320).

8192997120 is an abundant number, since it is smaller than the sum of its proper divisors (24843275520).

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

8192997120 is a wasteful number, since it uses less digits than its factorization.

8192997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 48.

The square root of 8192997120 is about 90515.1761860960. The cubic root of 8192997120 is about 2015.9554663884.

The spelling of 8192997120 in words is "eight billion, one hundred ninety-two million, nine hundred ninety-seven thousand, one hundred twenty".