83371008 has 88 divisors (see below), whose sum is σ = 254024512. Its totient is φ = 23814144.

The previous prime is 83371007. The next prime is 83371019. The reversal of 83371008 is 80017338.

It is not an unprimeable number, because it can be changed into a prime (83371007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19566 + ... + 23442.

Almost surely, 2^83371008 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 83371008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127012256).

83371008 is an abundant number, since it is smaller than the sum of its proper divisors (170653504).

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

83371008 is a wasteful number, since it uses less digits than its factorization.

83371008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 83371008 is about 9130.7725850554. The cubic root of 83371008 is about 436.8560461567.

It can be divided in two parts, 83 and 371008, that added together give a triangular number (371091 = T₈₆₁).

The spelling of 83371008 in words is "eighty-three million, three hundred seventy-one thousand, eight".