82095160 has 64 divisors (see below), whose sum is σ = 211896000. Its totient is φ = 28041216.

The previous prime is 82095157. The next prime is 82095179. The reversal of 82095160 is 6159028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125394 + ... + 126046.

It is an arithmetic number, because the mean of its divisors is an integer number (3310875).

Almost surely, 2^82095160 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 82095160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105948000).

82095160 is an abundant number, since it is smaller than the sum of its proper divisors (129800840).

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

82095160 is a wasteful number, since it uses less digits than its factorization.

82095160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 82095160 is about 9060.6379466349. The cubic root of 82095160 is about 434.6161408687.

The spelling of 82095160 in words is "eighty-two million, ninety-five thousand, one hundred sixty".