82841824 has 96 divisors (see below), whose sum is σ = 189665280. Its totient is φ = 35292672.

The previous prime is 82841821. The next prime is 82841851. The reversal of 82841824 is 42814828.

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 (82841821) 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, 371377 + ... + 371599.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2^82841824 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 82841824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640).

82841824 is an abundant number, since it is smaller than the sum of its proper divisors (106823456).

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

82841824 is a wasteful number, since it uses less digits than its factorization.

82841824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 32768, while the sum is 37.

The square root of 82841824 is about 9101.7484034662. The cubic root of 82841824 is about 435.9297925839.

The spelling of 82841824 in words is "eighty-two million, eight hundred forty-one thousand, eight hundred twenty-four".