83042208 has 72 divisors (see below), whose sum is σ = 242564868. Its totient is φ = 26929152.

The previous prime is 83042207. The next prime is 83042221. The reversal of 83042208 is 80224038.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 22014864 = 7812^2 + 4692^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (83042207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6760 + ... + 14552.

Almost surely, 2^83042208 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 83042208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121282434).

83042208 is an abundant number, since it is smaller than the sum of its proper divisors (159522660).

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

83042208 is a wasteful number, since it uses less digits than its factorization.

83042208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83042208 is about 9112.7497496639. The cubic root of 83042208 is about 436.2809960927.

The spelling of 83042208 in words is "eighty-three million, forty-two thousand, two hundred eight".