83008008 has 96 divisors (see below), whose sum is σ = 241558200. Its totient is φ = 25657344.

The previous prime is 83008001. The next prime is 83008031. The reversal of 83008008 is 80080038.

It can be written as a sum of positive squares in 4 ways, for example, as 61496964 + 21511044 = 7842^2 + 4638^2 .

It is not an unprimeable number, because it can be changed into a prime (83008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88888 + ... + 89816.

Almost surely, 2^83008008 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 83008008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120779100).

83008008 is an abundant number, since it is smaller than the sum of its proper divisors (158550192).

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

83008008 is a wasteful number, since it uses less digits than its factorization.

83008008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83008008 is about 9110.8730646410. The cubic root of 83008008 is about 436.2210953939.

The spelling of 83008008 in words is "eighty-three million, eight thousand, eight".