83980032 has 72 divisors (see below), whose sum is σ = 228797184. Its totient is φ = 27331584.

The previous prime is 83980021. The next prime is 83980033. The reversal of 83980032 is 23008938.

It is a junction number, because it is equal to n+sod(n) for n = 83979975 and 83980002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83980033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31753 + ... + 34295.

Almost surely, 2^83980032 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 83980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114398592).

83980032 is an abundant number, since it is smaller than the sum of its proper divisors (144817152).

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

83980032 is a wasteful number, since it uses less digits than its factorization.

83980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 83980032 is about 9164.0619814578. The cubic root of 83980032 is about 437.9172087632.

The spelling of 83980032 in words is "eighty-three million, nine hundred eighty thousand, thirty-two".