8345220240 has 160 divisors (see below), whose sum is σ = 29620604160. Its totient is φ = 1903951872.

The previous prime is 8345220239. The next prime is 8345220251. The reversal of 8345220240 is 420225438.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8345220198 and 8345220207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965056 + ... + 973664.

It is an arithmetic number, because the mean of its divisors is an integer number (185128776).

Almost surely, 2^8345220240 is an apocalyptic number.

8345220240 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 8345220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810302080).

8345220240 is an abundant number, since it is smaller than the sum of its proper divisors (21275383920).

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

8345220240 is a wasteful number, since it uses less digits than its factorization.

8345220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 8345220240 is about 91352.1769855541. The cubic root of 8345220240 is about 2028.3641881033.

Adding to 8345220240 its reverse (420225438), we get a palindrome (8765445678).

The spelling of 8345220240 in words is "eight billion, three hundred forty-five million, two hundred twenty thousand, two hundred forty".