83168896 has 64 divisors (see below), whose sum is σ = 180350280. Its totient is φ = 38043648.

The previous prime is 83168881. The next prime is 83168959. The reversal of 83168896 is 69886138.

It can be written as a sum of positive squares in 4 ways, for example, as 76737600 + 6431296 = 8760^2 + 2536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79996 + ... + 81028.

Almost surely, 2^83168896 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 83168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90175140).

83168896 is an abundant number, since it is smaller than the sum of its proper divisors (97181384).

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

83168896 is a wasteful number, since it uses less digits than its factorization.

83168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1089 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The square root of 83168896 is about 9119.6982406218. The cubic root of 83168896 is about 436.5027447062.

The spelling of 83168896 in words is "eighty-three million, one hundred sixty-eight thousand, eight hundred ninety-six".