82143360 has 192 divisors, whose sum is σ = 305749080. Its totient is φ = 20201472.

The previous prime is 82143359. The next prime is 82143431. The reversal of 82143360 is 6334128.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42302016 + 39841344 = 6504^2 + 6312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74332 + ... + 75428.

Almost surely, 2^82143360 is an apocalyptic number.

82143360 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 82143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152874540).

82143360 is an abundant number, since it is smaller than the sum of its proper divisors (223605720).

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

82143360 is a wasteful number, since it uses less digits than its factorization.

82143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 82143360 is about 9063.2974131935. The cubic root of 82143360 is about 434.7011820150.

Adding to 82143360 its reverse (6334128), we get a palindrome (88477488).

The spelling of 82143360 in words is "eighty-two million, one hundred forty-three thousand, three hundred sixty".