82823660 has 48 divisors (see below), whose sum is σ = 193868640. Its totient is φ = 29537280.

The previous prime is 82823617. The next prime is 82823687. The reversal of 82823660 is 6632828.

It is a self number, because there is not a number n which added to its sum of digits gives 82823660.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50 + ... + 12870.

It is an arithmetic number, because the mean of its divisors is an integer number (4038930).

Almost surely, 2^82823660 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 82823660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96934320).

82823660 is an abundant number, since it is smaller than the sum of its proper divisors (111044980).

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

82823660 is a wasteful number, since it uses less digits than its factorization.

82823660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866 (or 12864 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 82823660 is about 9100.7505185012. The cubic root of 82823660 is about 435.8979294213.

The spelling of 82823660 in words is "eighty-two million, eight hundred twenty-three thousand, six hundred sixty".