82384848 has 120 divisors (see below), whose sum is σ = 283815168. Its totient is φ = 21724416.

The previous prime is 82384847. The next prime is 82384879. The reversal of 82384848 is 84848328.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82384847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9961 + ... + 16247.

Almost surely, 2^82384848 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 82384848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141907584).

82384848 is an abundant number, since it is smaller than the sum of its proper divisors (201430320).

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

82384848 is a wasteful number, since it uses less digits than its factorization.

82384848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321 (or 6312 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 82384848 is about 9076.6099398399. The cubic root of 82384848 is about 435.1267486376.

The spelling of 82384848 in words is "eighty-two million, three hundred eighty-four thousand, eight hundred forty-eight".