82618968 has 64 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 26490240.

The previous prime is 82618951. The next prime is 82618981. The reversal of 82618968 is 86981628.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 217803 + ... + 218181.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^82618968 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 82618968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251200).

82618968 is an abundant number, since it is smaller than the sum of its proper divisors (131883432).

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

82618968 is a wasteful number, since it uses less digits than its factorization.

82618968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 82618968 is about 9089.4976758895. The cubic root of 82618968 is about 435.5385376563.

The spelling of 82618968 in words is "eighty-two million, six hundred eighteen thousand, nine hundred sixty-eight".