83296768 has 40 divisors (see below), whose sum is σ = 170967852. Its totient is φ = 40513536.

The previous prime is 83296747. The next prime is 83296769. The reversal of 83296768 is 86769238.

It can be written as a sum of positive squares in 2 ways, for example, as 79423744 + 3873024 = 8912^2 + 1968^2 .

It is not an unprimeable number, because it can be changed into a prime (83296769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16746 + ... + 21142.

Almost surely, 2^83296768 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 83296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85483926).

83296768 is an abundant number, since it is smaller than the sum of its proper divisors (87671084).

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

83296768 is an equidigital number, since it uses as much as digits as its factorization.

83296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4436 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 83296768 is about 9126.7063062202. The cubic root of 83296768 is about 436.7263375001.

The spelling of 83296768 in words is "eighty-three million, two hundred ninety-six thousand, seven hundred sixty-eight".