83083008 has 72 divisors (see below), whose sum is σ = 222518016. Its totient is φ = 27520000.

The previous prime is 83082997. The next prime is 83083031. The reversal of 83083008 is 80038038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192553 + ... + 192983.

It is an arithmetic number, because the mean of its divisors is an integer number (3090528).

Almost surely, 2^83083008 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 83083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111259008).

83083008 is an abundant number, since it is smaller than the sum of its proper divisors (139435008).

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

83083008 is a wasteful number, since it uses less digits than its factorization.

83083008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 83083008 is about 9114.9880965364. The cubic root of 83083008 is about 436.3524350660.

It can be divided in two parts, 830 and 83008, that added together give a palindrome (83838).

The spelling of 83083008 in words is "eighty-three million, eighty-three thousand, eight".