83303808 has 128 divisors (see below), whose sum is σ = 267909120. Its totient is φ = 22388736.

The previous prime is 83303797. The next prime is 83303813. The reversal of 83303808 is 80830338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent 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, 44785 + ... + 46607.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 2^83303808 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 83303808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133954560).

83303808 is an abundant number, since it is smaller than the sum of its proper divisors (184605312).

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

83303808 is a wasteful number, since it uses less digits than its factorization.

83303808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 83303808 is about 9127.0919793766. The cubic root of 83303808 is about 436.7386407658.

The spelling of 83303808 in words is "eighty-three million, three hundred three thousand, eight hundred eight".