82035980 has 48 divisors (see below), whose sum is σ = 186725280. Its totient is φ = 30273984.

The previous prime is 82035979. The next prime is 82035991. The reversal of 82035980 is 8953028.

It is a self number, because there is not a number n which added to its sum of digits gives 82035980.

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, 43007 + ... + 44873.

It is an arithmetic number, because the mean of its divisors is an integer number (3890110).

Almost surely, 2^82035980 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 82035980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93362640).

82035980 is an abundant number, since it is smaller than the sum of its proper divisors (104689300).

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

82035980 is a wasteful number, since it uses less digits than its factorization.

82035980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 82035980 is about 9057.3715834120. The cubic root of 82035980 is about 434.5116817422.

The spelling of 82035980 in words is "eighty-two million, thirty-five thousand, nine hundred eighty".