82639000900 has 243 divisors, whose sum is σ = 203333912229. Its totient is φ = 29142558720.

The previous prime is 82639000889. The next prime is 82639000921. The reversal of 82639000900 is 900093628.

The square root of 82639000900 is 287470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 55740376836 + 26898624064 = 236094^2 + 164008^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82639000900.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 928528056 + ... + 928528144.

Almost surely, 2^82639000900 is an apocalyptic number.

82639000900 is the 287470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82639000900

82639000900 is an abundant number, since it is smaller than the sum of its proper divisors (120694911329).

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

82639000900 is a wasteful number, since it uses less digits than its factorization.

82639000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 82639000900 in words is "eighty-two billion, six hundred thirty-nine million, nine hundred", and thus it is an aban number.