82633320 has 288 divisors, whose sum is σ = 338607360. Its totient is φ = 17107200.

The previous prime is 82633253. The next prime is 82633333. The reversal of 82633320 is 2333628.

82633320 is a `hidden beast` number, since 8 + 2 + 633 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304785 + ... + 305055.

It is an arithmetic number, because the mean of its divisors is an integer number (1175720).

Almost surely, 2^82633320 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 82633320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

82633320 is an abundant number, since it is smaller than the sum of its proper divisors (255974040).

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

82633320 is a wasteful number, since it uses less digits than its factorization.

82633320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 82633320 is about 9090.2871241782. The cubic root of 82633320 is about 435.5637557845.

Adding to 82633320 its reverse (2333628), we get a palindrome (84966948).

The spelling of 82633320 in words is "eighty-two million, six hundred thirty-three thousand, three hundred twenty".