8202340608 has 576 divisors, whose sum is σ = 29669068800. Its totient is φ = 1946419200.

The previous prime is 8202340607. The next prime is 8202340631. The reversal of 8202340608 is 8060432028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8202340607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41217693 + ... + 41217891.

It is an arithmetic number, because the mean of its divisors is an integer number (51508800).

Almost surely, 2^8202340608 is an apocalyptic number.

8202340608 is a gapful number since it is divisible by the number (88) 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 8202340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834534400).

8202340608 is an abundant number, since it is smaller than the sum of its proper divisors (21466728192).

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

8202340608 is a wasteful number, since it uses less digits than its factorization.

8202340608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 8202340608 is about 90566.7743049293. The cubic root of 8202340608 is about 2016.7215230424.

The spelling of 8202340608 in words is "eight billion, two hundred two million, three hundred forty thousand, six hundred eight".