83808 has 48 divisors (see below), whose sum is σ = 246960. Its totient is φ = 27648.

The previous prime is 83791. The next prime is 83813. The reversal of 83808 is 80838.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (5145).

2⁸³⁸⁰⁸ 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 83808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480).

83808 is an abundant number, since it is smaller than the sum of its proper divisors (163152).

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

83808 is a wasteful number, since it uses less digits than its factorization.

83808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83808 is about 289.4961139636. The cubic root of 83808 is about 43.7617981786.

The spelling of 83808 in words is "eighty-three thousand, eight hundred eight".