1023808008 has 64 divisors (see below), whose sum is σ = 2701137600. Its totient is φ = 322479360.

The previous prime is 1023807979. The next prime is 1023808033. The reversal of 1023808008 is 8008083201.

It is a Cunningham number, because it is equal to 31997²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189310 + ... + 194642.

It is an arithmetic number, because the mean of its divisors is an integer number (42205275).

Almost surely, 2^1023808008 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 1023808008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350568800).

1023808008 is an abundant number, since it is smaller than the sum of its proper divisors (1677329592).

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

1023808008 is a wasteful number, since it uses less digits than its factorization.

1023808008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1023808008 is about 31996.9999843735. Note that the first 4 decimals coincide. The cubic root of 1023808008 is about 1007.8738425509.

The spelling of 1023808008 in words is "one billion, twenty-three million, eight hundred eight thousand, eight".