83040896 has 32 divisors (see below), whose sum is σ = 166214100. Its totient is φ = 41324544.

The previous prime is 83040889. The next prime is 83040901. The reversal of 83040896 is 69804038.

It can be written as a sum of positive squares in 2 ways, for example, as 79566400 + 3474496 = 8920^2 + 1864^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 27896 + ... + 30728.

Almost surely, 2^83040896 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 83040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83107050).

83040896 is an abundant number, since it is smaller than the sum of its proper divisors (83173204).

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

83040896 is a wasteful number, since it uses less digits than its factorization.

83040896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 83040896 is about 9112.6777623265. The cubic root of 83040896 is about 436.2786984511.

The spelling of 83040896 in words is "eighty-three million, forty thousand, eight hundred ninety-six".