82180206 has 36 divisors (see below), whose sum is σ = 187936632. Its totient is φ = 25949592.

The previous prime is 82180201. The next prime is 82180207. The reversal of 82180206 is 60208128.

It is a super-3 number, since 3×82180206³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82180206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82180201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 175 + ... + 12821.

It is an arithmetic number, because the mean of its divisors is an integer number (5220462).

Almost surely, 2^82180206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82180206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93968316).

82180206 is an abundant number, since it is smaller than the sum of its proper divisors (105756426).

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

82180206 is a wasteful number, since it uses less digits than its factorization.

82180206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12693 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82180206 is about 9065.3298891987. The cubic root of 82180206 is about 434.7661684221.

The spelling of 82180206 in words is "eighty-two million, one hundred eighty thousand, two hundred six".