82935168 has 64 divisors (see below), whose sum is σ = 227435520. Its totient is φ = 26749440.

The previous prime is 82935161. The next prime is 82935233. The reversal of 82935168 is 86153928.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82935161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8421 + ... + 15387.

It is an arithmetic number, because the mean of its divisors is an integer number (3553680).

Almost surely, 2^82935168 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 82935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113717760).

82935168 is an abundant number, since it is smaller than the sum of its proper divisors (144500352).

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

82935168 is a wasteful number, since it uses less digits than its factorization.

82935168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7003 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 82935168 is about 9106.8747658019. The cubic root of 82935168 is about 436.0934625548.

The spelling of 82935168 in words is "eighty-two million, nine hundred thirty-five thousand, one hundred sixty-eight".