82682016 has 96 divisors (see below), whose sum is σ = 237867840. Its totient is φ = 25030656.

The previous prime is 82681997. The next prime is 82682029. The reversal of 82682016 is 61028628.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46455 + ... + 48201.

It is an arithmetic number, because the mean of its divisors is an integer number (2477790).

Almost surely, 2^82682016 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 82682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118933920).

82682016 is an abundant number, since it is smaller than the sum of its proper divisors (155185824).

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

82682016 is a wasteful number, since it uses less digits than its factorization.

82682016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82682016 is about 9092.9651929390. The cubic root of 82682016 is about 435.6492985478.

The spelling of 82682016 in words is "eighty-two million, six hundred eighty-two thousand, sixteen".