83608896 has 84 divisors (see below), whose sum is σ = 257360928. Its totient is φ = 23885568.

The previous prime is 83608879. The next prime is 83608919. The reversal of 83608896 is 69880638.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 11 ways as a sum of consecutive naturals, for example, 4965 + ... + 13851.

Almost surely, 2^83608896 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 83608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128680464).

83608896 is an abundant number, since it is smaller than the sum of its proper divisors (173752032).

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

83608896 is a wasteful number, since it uses less digits than its factorization.

83608896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8916 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 83608896 is about 9143.7900238358. The cubic root of 83608896 is about 437.2711549846.

The spelling of 83608896 in words is "eighty-three million, six hundred eight thousand, eight hundred ninety-six".