82116864 has 108 divisors (see below), whose sum is σ = 245126700. Its totient is φ = 26406912.

The previous prime is 82116857. The next prime is 82116869. The reversal of 82116864 is 46861128.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 14745600 = 8208^2 + 3840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82116869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66202 + ... + 67430.

Almost surely, 2^82116864 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 82116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563350).

82116864 is an abundant number, since it is smaller than the sum of its proper divisors (163009836).

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

82116864 is a wasteful number, since it uses less digits than its factorization.

82116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1263 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82116864 is about 9061.8355756436. The cubic root of 82116864 is about 434.6544382038.

The spelling of 82116864 in words is "eighty-two million, one hundred sixteen thousand, eight hundred sixty-four".