82360320 has 192 divisors, whose sum is σ = 301916160. Its totient is φ = 18776064.

The previous prime is 82360303. The next prime is 82360331. The reversal of 82360320 is 2306328.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 214849 + ... + 215231.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^82360320 is an apocalyptic number.

82360320 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 82360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

82360320 is an abundant number, since it is smaller than the sum of its proper divisors (219555840).

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

82360320 is a wasteful number, since it uses less digits than its factorization.

82360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 82360320 is about 9075.2586739993. The cubic root of 82360320 is about 435.0835616985.

Adding to 82360320 its reverse (2306328), we get a palindrome (84666648).

The spelling of 82360320 in words is "eighty-two million, three hundred sixty thousand, three hundred twenty".