83445168 has 80 divisors (see below), whose sum is σ = 223423200. Its totient is φ = 26818560.

The previous prime is 83445143. The next prime is 83445179. The reversal of 83445168 is 86154438.

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, 214318 + ... + 214706.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^83445168 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 83445168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111711600).

83445168 is an abundant number, since it is smaller than the sum of its proper divisors (139978032).

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

83445168 is a wasteful number, since it uses less digits than its factorization.

83445168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 83445168 is about 9134.8326749864. The cubic root of 83445168 is about 436.9855381865.

The spelling of 83445168 in words is "eighty-three million, four hundred forty-five thousand, one hundred sixty-eight".