8204825088 has 240 divisors, whose sum is σ = 24397813440. Its totient is φ = 2653396992.

The previous prime is 8204825047. The next prime is 8204825089. The reversal of 8204825088 is 8805284028.

It is not an unprimeable number, because it can be changed into a prime (8204825089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28002670 + ... + 28002962.

It is an arithmetic number, because the mean of its divisors is an integer number (101657556).

Almost surely, 2^8204825088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8204825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198906720).

8204825088 is an abundant number, since it is smaller than the sum of its proper divisors (16192988352).

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

8204825088 is a wasteful number, since it uses less digits than its factorization.

8204825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 8204825088 is about 90580.4895548705. The cubic root of 8204825088 is about 2016.9251234016.

The spelling of 8204825088 in words is "eight billion, two hundred four million, eight hundred twenty-five thousand, eighty-eight".