82185760 has 48 divisors (see below), whose sum is σ = 196088256. Its totient is φ = 32548608.

The previous prime is 82185731. The next prime is 82185781. The reversal of 82185760 is 6758128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13987 + ... + 18973.

It is an arithmetic number, because the mean of its divisors is an integer number (4085172).

Almost surely, 2^82185760 is an apocalyptic number.

82185760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82185760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98044128).

82185760 is an abundant number, since it is smaller than the sum of its proper divisors (113902496).

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

82185760 is a wasteful number, since it uses less digits than its factorization.

82185760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 82185760 is about 9065.6362159531. The cubic root of 82185760 is about 434.7759624955.

The spelling of 82185760 in words is "eighty-two million, one hundred eighty-five thousand, seven hundred sixty".