83920896 has 144 divisors (see below), whose sum is σ = 252333900. Its totient is φ = 26836992.

The previous prime is 83920871. The next prime is 83920913. The reversal of 83920896 is 69802938.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 746496 = 9120^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534450 + ... + 534606.

Almost surely, 2^83920896 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 83920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126166950).

83920896 is an abundant number, since it is smaller than the sum of its proper divisors (168413004).

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

83920896 is a wasteful number, since it uses less digits than its factorization.

83920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 83920896 is about 9160.8348964491. The cubic root of 83920896 is about 437.8143956208.

The spelling of 83920896 in words is "eighty-three million, nine hundred twenty thousand, eight hundred ninety-six".