82360206 has 64 divisors (see below), whose sum is σ = 196603200. Its totient is φ = 25463808.

The previous prime is 82360199. The next prime is 82360237. The reversal of 82360206 is 60206328.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 82360206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66400 + ... + 67628.

It is an arithmetic number, because the mean of its divisors is an integer number (3071925).

Almost surely, 2^82360206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82360206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98301600).

82360206 is an abundant number, since it is smaller than the sum of its proper divisors (114242994).

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

82360206 is a wasteful number, since it uses less digits than its factorization.

82360206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 82360206 is about 9075.2523931844. The cubic root of 82360206 is about 435.0833609564.

The spelling of 82360206 in words is "eighty-two million, three hundred sixty thousand, two hundred six".