82024220 has 48 divisors (see below), whose sum is σ = 177881088. Its totient is φ = 31752000.

The previous prime is 82024213. The next prime is 82024237. The reversal of 82024220 is 2242028.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 82024192 and 82024201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108845 + ... + 109595.

It is an arithmetic number, because the mean of its divisors is an integer number (3705856).

Almost surely, 2^82024220 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 82024220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88940544).

82024220 is an abundant number, since it is smaller than the sum of its proper divisors (95856868).

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

82024220 is a wasteful number, since it uses less digits than its factorization.

82024220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 82024220 is about 9056.7223651827. The cubic root of 82024220 is about 434.4909180823.

Adding to 82024220 its reverse (2242028), we get a palindrome (84266248).

The spelling of 82024220 in words is "eighty-two million, twenty-four thousand, two hundred twenty".