82020120 has 384 divisors, whose sum is σ = 327499200. Its totient is φ = 16257024.

The previous prime is 82020109. The next prime is 82020137. The reversal of 82020120 is 2102028.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 82020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2216742 + ... + 2216778.

Almost surely, 2^82020120 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 82020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

82020120 is an abundant number, since it is smaller than the sum of its proper divisors (245479080).

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

82020120 is a wasteful number, since it uses less digits than its factorization.

82020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82020120 is about 9056.4960111513. The cubic root of 82020120 is about 434.4836785847.

Adding to 82020120 its reverse (2102028), we get a palindrome (84122148).

The spelling of 82020120 in words is "eighty-two million, twenty thousand, one hundred twenty".