82860200 has 48 divisors (see below), whose sum is σ = 196309980. Its totient is φ = 32514560.

The previous prime is 82860199. The next prime is 82860209. The reversal of 82860200 is 206828.

It can be written as a sum of positive squares in 6 ways, for example, as 11930116 + 70930084 = 3454^2 + 8422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82860200.

It is not an unprimeable number, because it can be changed into a prime (82860209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6692 + ... + 14508.

Almost surely, 2^82860200 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 82860200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98154990).

82860200 is an abundant number, since it is smaller than the sum of its proper divisors (113449780).

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

82860200 is a wasteful number, since it uses less digits than its factorization.

82860200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 82860200 is about 9102.7578238685. The cubic root of 82860200 is about 435.9620228965.

The spelling of 82860200 in words is "eighty-two million, eight hundred sixty thousand, two hundred".