82019712 has 64 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 27154944.

The previous prime is 82019711. The next prime is 82019723. The reversal of 82019712 is 21791028.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82019712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82019711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63489 + ... + 64767.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2^82019712 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 82019712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400).

82019712 is an abundant number, since it is smaller than the sum of its proper divisors (137321088).

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

82019712 is a wasteful number, since it uses less digits than its factorization.

82019712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 82019712 is about 9056.4734858553. The cubic root of 82019712 is about 434.4829581532.

The spelling of 82019712 in words is "eighty-two million, nineteen thousand, seven hundred twelve".