82039968 has 72 divisors (see below), whose sum is σ = 235243008. Its totient is φ = 27119232.

The previous prime is 82039963. The next prime is 82039987. The reversal of 82039968 is 86993028.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (82039963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35455 + ... + 37697.

It is an arithmetic number, because the mean of its divisors is an integer number (3267264).

Almost surely, 2^82039968 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 82039968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117621504).

82039968 is an abundant number, since it is smaller than the sum of its proper divisors (153203040).

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

82039968 is a wasteful number, since it uses less digits than its factorization.

82039968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 82039968 is about 9057.5917329056. The cubic root of 82039968 is about 434.5187225736.

The spelling of 82039968 in words is "eighty-two million, thirty-nine thousand, nine hundred sixty-eight".