82160000 has 160 divisors (see below), whose sum is σ = 223053600. Its totient is φ = 29952000.

The previous prime is 82159897. The next prime is 82160003. The reversal of 82160000 is 6128.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82160003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039961 + ... + 1040039.

It is an arithmetic number, because the mean of its divisors is an integer number (1394085).

Almost surely, 2^82160000 is an apocalyptic number.

82160000 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 82160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111526800).

82160000 is an abundant number, since it is smaller than the sum of its proper divisors (140893600).

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

82160000 is an equidigital number, since it uses as much as digits as its factorization.

82160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 82160000 is about 9064.2153548997. The cubic root of 82160000 is about 434.7305328933.

Adding to 82160000 its reverse (6128), we get a palindrome (82166128).

The spelling of 82160000 in words is "eighty-two million, one hundred sixty thousand".