82938968 has 48 divisors (see below), whose sum is σ = 182094480. Its totient is φ = 35310912.

The previous prime is 82938967. The next prime is 82938979. The reversal of 82938968 is 86983928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82938967) 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, 67205 + ... + 68427.

It is an arithmetic number, because the mean of its divisors is an integer number (3793635).

Almost surely, 2^82938968 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 82938968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91047240).

82938968 is an abundant number, since it is smaller than the sum of its proper divisors (99155512).

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

82938968 is a wasteful number, since it uses less digits than its factorization.

82938968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1405 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 53.

The square root of 82938968 is about 9107.0833970048. The cubic root of 82938968 is about 436.1001228972.

The spelling of 82938968 in words is "eighty-two million, nine hundred thirty-eight thousand, nine hundred sixty-eight".