82075968 has 168 divisors, whose sum is σ = 258229608. Its totient is φ = 24772608.

The previous prime is 82075951. The next prime is 82075969. The reversal of 82075968 is 86957028.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 80138304 = 1392^2 + 8952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82075969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726280 + ... + 726392.

It is an arithmetic number, because the mean of its divisors is an integer number (1537081).

Almost surely, 2^82075968 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 82075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129114804).

82075968 is an abundant number, since it is smaller than the sum of its proper divisors (176153640).

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

82075968 is a wasteful number, since it uses less digits than its factorization.

82075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 82075968 is about 9059.5787981561. The cubic root of 82075968 is about 434.5822704065.

The spelling of 82075968 in words is "eighty-two million, seventy-five thousand, nine hundred sixty-eight".