82968060 has 192 divisors, whose sum is σ = 288046080. Its totient is φ = 17418240.

The previous prime is 82968049. The next prime is 82968139. The reversal of 82968060 is 6086928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295120 + ... + 295400.

It is an arithmetic number, because the mean of its divisors is an integer number (1500240).

Almost surely, 2^82968060 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 82968060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144023040).

82968060 is an abundant number, since it is smaller than the sum of its proper divisors (205078020).

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

82968060 is a wasteful number, since it uses less digits than its factorization.

82968060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 82968060 is about 9108.6804752390. The cubic root of 82968060 is about 436.1511063372.

The spelling of 82968060 in words is "eighty-two million, nine hundred sixty-eight thousand, sixty".