82160512 has 64 divisors (see below), whose sum is σ = 191139840. Its totient is φ = 34444800.

The previous prime is 82160497. The next prime is 82160521. The reversal of 82160512 is 21506128.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41137 + ... + 43087.

It is an arithmetic number, because the mean of its divisors is an integer number (2986560).

Almost surely, 2^82160512 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 82160512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95569920).

82160512 is an abundant number, since it is smaller than the sum of its proper divisors (108979328).

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

82160512 is a wasteful number, since it uses less digits than its factorization.

82160512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 82160512 is about 9064.2435977858. The cubic root of 82160512 is about 434.7314359344.

The spelling of 82160512 in words is "eighty-two million, one hundred sixty thousand, five hundred twelve".