82196768 has 48 divisors (see below), whose sum is σ = 174223224. Its totient is φ = 38031360.

The previous prime is 82196767. The next prime is 82196773. The reversal of 82196768 is 86769128.

It can be written as a sum of positive squares in 4 ways, for example, as 60031504 + 22165264 = 7748^2 + 4708^2 .

It is not an unprimeable number, because it can be changed into a prime (82196767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31946 + ... + 34422.

Almost surely, 2^82196768 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 82196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87111612).

82196768 is an abundant number, since it is smaller than the sum of its proper divisors (92026456).

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

82196768 is a wasteful number, since it uses less digits than its factorization.

82196768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2557 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 82196768 is about 9066.2433234499. The cubic root of 82196768 is about 434.7953729957.

The spelling of 82196768 in words is "eighty-two million, one hundred ninety-six thousand, seven hundred sixty-eight".