8341608960 has 640 divisors, whose sum is σ = 32526489600. Its totient is φ = 2017198080.

The previous prime is 8341608941. The next prime is 8341608971. The reversal of 8341608960 is 698061438.

8341608960 is a `hidden beast` number, since 8 + 34 + 1 + 608 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 36426126 + ... + 36426354.

It is an arithmetic number, because the mean of its divisors is an integer number (50822640).

Almost surely, 2^8341608960 is an apocalyptic number.

8341608960 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 8341608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263244800).

8341608960 is an abundant number, since it is smaller than the sum of its proper divisors (24184880640).

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

8341608960 is a wasteful number, since it uses less digits than its factorization.

8341608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8341608960 is about 91332.4091437426. The cubic root of 8341608960 is about 2028.0715635963.

The spelling of 8341608960 in words is "eight billion, three hundred forty-one million, six hundred eight thousand, nine hundred sixty".