83306944 has 56 divisors (see below), whose sum is σ = 198892160. Its totient is φ = 33820416.

The previous prime is 83306911. The next prime is 83306947. The reversal of 83306944 is 44960338.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83306947) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3619 + ... + 13405.

Almost surely, 2^83306944 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 83306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99446080).

83306944 is an abundant number, since it is smaller than the sum of its proper divisors (115585216).

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

83306944 is a wasteful number, since it uses less digits than its factorization.

83306944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 83306944 is about 9127.2637739905. The cubic root of 83306944 is about 436.7441210883.

The spelling of 83306944 in words is "eighty-three million, three hundred six thousand, nine hundred forty-four".