82768686 has 64 divisors (see below), whose sum is σ = 222276096. Its totient is φ = 19843200.

The previous prime is 82768661. The next prime is 82768711. The reversal of 82768686 is 68686728.

It is an interprime number because it is at equal distance from previous prime (82768661) and next prime (82768711).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885 + ... + 12896.

It is an arithmetic number, because the mean of its divisors is an integer number (3473064).

Almost surely, 2^82768686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82768686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111138048).

82768686 is an abundant number, since it is smaller than the sum of its proper divisors (139507410).

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

82768686 is a wasteful number, since it uses less digits than its factorization.

82768686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817.

The product of its digits is 1548288, while the sum is 51.

The square root of 82768686 is about 9097.7297168030. The cubic root of 82768686 is about 435.8014660172.

The spelling of 82768686 in words is "eighty-two million, seven hundred sixty-eight thousand, six hundred eighty-six".