82885344 has 72 divisors (see below), whose sum is σ = 222064920. Its totient is φ = 27067392.

The previous prime is 82885343. The next prime is 82885367. The reversal of 82885344 is 44358828.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82885296 and 82885305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82885343) 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 11 ways as a sum of consecutive naturals, for example, 760362 + ... + 760470.

It is an arithmetic number, because the mean of its divisors is an integer number (3084235).

Almost surely, 2^82885344 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 82885344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111032460).

82885344 is an abundant number, since it is smaller than the sum of its proper divisors (139179576).

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

82885344 is a wasteful number, since it uses less digits than its factorization.

82885344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 203 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 82885344 is about 9104.1388390116. The cubic root of 82885344 is about 436.0061161222.

The spelling of 82885344 in words is "eighty-two million, eight hundred eighty-five thousand, three hundred forty-four".