82024824 has 96 divisors (see below), whose sum is σ = 251164800. Its totient is φ = 22196160.

The previous prime is 82024793. The next prime is 82024829. The reversal of 82024824 is 42842028.

It is a junction number, because it is equal to n+sod(n) for n = 82024791 and 82024800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82024829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20509 + ... + 24179.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^82024824 is an apocalyptic number.

82024824 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82024824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125582400).

82024824 is an abundant number, since it is smaller than the sum of its proper divisors (169139976).

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

82024824 is a wasteful number, since it uses less digits than its factorization.

82024824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 82024824 is about 9056.7557105180. The cubic root of 82024824 is about 434.4919845636.

The spelling of 82024824 in words is "eighty-two million, twenty-four thousand, eight hundred twenty-four".