82662216 has 96 divisors (see below), whose sum is σ = 258935040. Its totient is φ = 21796992.

The previous prime is 82662193. The next prime is 82662233. The reversal of 82662216 is 61226628.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12585 + ... + 17991.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 2^82662216 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 82662216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129467520).

82662216 is an abundant number, since it is smaller than the sum of its proper divisors (176272824).

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

82662216 is a wasteful number, since it uses less digits than its factorization.

82662216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5432 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 82662216 is about 9091.8763739945. The cubic root of 82662216 is about 435.6145205507.

The spelling of 82662216 in words is "eighty-two million, six hundred sixty-two thousand, two hundred sixteen".