83784484 has 48 divisors (see below), whose sum is σ = 174706560. Its totient is φ = 34410240.

The previous prime is 83784479. The next prime is 83784487. The reversal of 83784484 is 48448738.

It is not an unprimeable number, because it can be changed into a prime (83784487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67114 + ... + 68350.

It is an arithmetic number, because the mean of its divisors is an integer number (3639720).

Almost surely, 2^83784484 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 83784484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87353280).

83784484 is an abundant number, since it is smaller than the sum of its proper divisors (90922076).

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

83784484 is a wasteful number, since it uses less digits than its factorization.

83784484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1346 counting only the distinct ones).

The product of its digits is 688128, while the sum is 46.

The square root of 83784484 is about 9153.3864771460. The cubic root of 83784484 is about 437.5770470021.

The spelling of 83784484 in words is "eighty-three million, seven hundred eighty-four thousand, four hundred eighty-four".