82166760 has 192 divisors, whose sum is σ = 292153680. Its totient is φ = 19906560.

The previous prime is 82166753. The next prime is 82166761. The reversal of 82166760 is 6766128.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1920996 + 80245764 = 1386^2 + 8958^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82166761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453870 + ... + 454050.

Almost surely, 2^82166760 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 82166760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146076840).

82166760 is an abundant number, since it is smaller than the sum of its proper divisors (209986920).

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

82166760 is a wasteful number, since it uses less digits than its factorization.

82166760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82166760 is about 9064.5882421652. The cubic root of 82166760 is about 434.7424555557.

The spelling of 82166760 in words is "eighty-two million, one hundred sixty-six thousand, seven hundred sixty".