82029220 has 72 divisors (see below), whose sum is σ = 213240384. Its totient is φ = 25953408.

The previous prime is 82029217. The next prime is 82029221. The reversal of 82029220 is 2292028.

It is not an unprimeable number, because it can be changed into a prime (82029221) 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 23 ways as a sum of consecutive naturals, for example, 21927 + ... + 25393.

It is an arithmetic number, because the mean of its divisors is an integer number (2961672).

Almost surely, 2^82029220 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 82029220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106620192).

82029220 is an abundant number, since it is smaller than the sum of its proper divisors (131211164).

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

82029220 is a wasteful number, since it uses less digits than its factorization.

82029220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 82029220 is about 9056.9983990282. The cubic root of 82029220 is about 434.4997464115.

The spelling of 82029220 in words is "eighty-two million, twenty-nine thousand, two hundred twenty".