83108896 has 72 divisors (see below), whose sum is σ = 184505580. Its totient is φ = 36589056.

The previous prime is 83108863. The next prime is 83108899. The reversal of 83108896 is 69880138.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 2755600 = 8964^2 + 1660^2 .

It is not an unprimeable number, because it can be changed into a prime (83108899) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001271 + ... + 1001353.

Almost surely, 2^83108896 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 83108896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252790).

83108896 is an abundant number, since it is smaller than the sum of its proper divisors (101396684).

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

83108896 is a wasteful number, since it uses less digits than its factorization.

83108896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 83108896 is about 9116.4080645833. The cubic root of 83108896 is about 436.3977516678.

The spelling of 83108896 in words is "eighty-three million, one hundred eight thousand, eight hundred ninety-six".