83359008 has 72 divisors (see below), whose sum is σ = 238233996. Its totient is φ = 27648000.

The previous prime is 83358967. The next prime is 83359009. The reversal of 83359008 is 80095338.

It can be written as a sum of positive squares in 2 ways, for example, as 78641424 + 4717584 = 8868^2 + 2172^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83359009) 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, 68808 + ... + 70008.

Almost surely, 2^83359008 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 83359008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119116998).

83359008 is an abundant number, since it is smaller than the sum of its proper divisors (154874988).

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

83359008 is a wasteful number, since it uses less digits than its factorization.

83359008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83359008 is about 9130.1154428627. The cubic root of 83359008 is about 436.8350855366.

The spelling of 83359008 in words is "eighty-three million, three hundred fifty-nine thousand, eight".