8133320 has 32 divisors (see below), whose sum is σ = 19708920. Its totient is φ = 3002880.

The previous prime is 8133317. The next prime is 8133341. The reversal of 8133320 is 233318.

It can be written as a sum of positive squares in 4 ways, for example, as 7431076 + 702244 = 2726^2 + 838^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8133292 and 8133301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7301 + ... + 8340.

Almost surely, 2^8133320 is an apocalyptic number.

It is an amenable number.

8133320 is an abundant number, since it is smaller than the sum of its proper divisors (11575600).

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

8133320 is a wasteful number, since it uses less digits than its factorization.

8133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15665 (or 15661 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 8133320 is about 2851.8976138705. The cubic root of 8133320 is about 201.1048849066.

Adding to 8133320 its reverse (233318), we get a palindrome (8366638).

The spelling of 8133320 in words is "eight million, one hundred thirty-three thousand, three hundred twenty".