8112882960 has 900 divisors, whose sum is σ = 36126211212. Its totient is φ = 1621638144.

The previous prime is 8112882949. The next prime is 8112882977. The reversal of 8112882960 is 692882118.

It is a happy number.

8112882960 is a `hidden beast` number, since 81 + 1 + 288 + 296 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1997017344 + 6115865616 = 44688^2 + 78204^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 426993831 + ... + 426993849.

Almost surely, 2^8112882960 is an apocalyptic number.

8112882960 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 8112882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063105606).

8112882960 is an abundant number, since it is smaller than the sum of its proper divisors (28013328252).

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

8112882960 is a wasteful number, since it uses less digits than its factorization.

8112882960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 8112882960 is about 90071.5435639914. The cubic root of 8112882960 is about 2009.3630119356.

The spelling of 8112882960 in words is "eight billion, one hundred twelve million, eight hundred eighty-two thousand, nine hundred sixty".