8218596960 has 720 divisors, whose sum is σ = 35585627616. Its totient is φ = 1743814656.

The previous prime is 8218596959. The next prime is 8218596989. The reversal of 8218596960 is 696958128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8218596897 and 8218596906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112583484 + ... + 112583556.

Almost surely, 2^8218596960 is an apocalyptic number.

8218596960 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 8218596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17792813808).

8218596960 is an abundant number, since it is smaller than the sum of its proper divisors (27367030656).

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

8218596960 is a wasteful number, since it uses less digits than its factorization.

8218596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 8218596960 is about 90656.4777608307. The cubic root of 8218596960 is about 2018.0529681999.

The spelling of 8218596960 in words is "eight billion, two hundred eighteen million, five hundred ninety-six thousand, nine hundred sixty".