8281960560 has 160 divisors (see below), whose sum is σ = 28561505280. Its totient is φ = 2205833472.

The previous prime is 8281960549. The next prime is 8281960591. The reversal of 8281960560 is 650691828.

8281960560 is a `hidden beast` number, since 8 + 2 + 81 + 9 + 6 + 0 + 560 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2294277 + ... + 2297883.

It is an arithmetic number, because the mean of its divisors is an integer number (178509408).

Almost surely, 2^8281960560 is an apocalyptic number.

8281960560 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 8281960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14280752640).

8281960560 is an abundant number, since it is smaller than the sum of its proper divisors (20279544720).

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

8281960560 is a wasteful number, since it uses less digits than its factorization.

8281960560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8281960560 is about 91005.2776491562. The cubic root of 8281960560 is about 2023.2259469352.

The spelling of 8281960560 in words is "eight billion, two hundred eighty-one million, nine hundred sixty thousand, five hundred sixty".