82305024 has 112 divisors (see below), whose sum is σ = 233556048. Its totient is φ = 25690112.

The previous prime is 82305023. The next prime is 82305077. The reversal of 82305024 is 42050328.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 82304985 and 82305003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82305023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417694 + ... + 417890.

Almost surely, 2^82305024 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 82305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116778024).

82305024 is an abundant number, since it is smaller than the sum of its proper divisors (151251024).

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

82305024 is a wasteful number, since it uses less digits than its factorization.

82305024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 82305024 is about 9072.2116377430. The cubic root of 82305024 is about 434.9861694638.

It can be divided in two parts, 8 and 2305024, that added together give a palindrome (2305032).

The spelling of 82305024 in words is "eighty-two million, three hundred five thousand, twenty-four".