83318976 has 112 divisors (see below), whose sum is σ = 263855200. Its totient is φ = 25629696.

The previous prime is 83318959. The next prime is 83318987. The reversal of 83318976 is 67981338.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20610 + ... + 24318.

It is an arithmetic number, because the mean of its divisors is an integer number (2355850).

Almost surely, 2^83318976 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 83318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131927600).

83318976 is an abundant number, since it is smaller than the sum of its proper divisors (180536224).

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

83318976 is a wasteful number, since it uses less digits than its factorization.

83318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3727 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 83318976 is about 9127.9228743455. The cubic root of 83318976 is about 436.7651463556.

The spelling of 83318976 in words is "eighty-three million, three hundred eighteen thousand, nine hundred seventy-six".