6733120 has 56 divisors (see below), whose sum is σ = 16376904. Its totient is φ = 2635776.

The previous prime is 6733109. The next prime is 6733121. The reversal of 6733120 is 213376.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 5053504 = 1296^2 + 2248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6733091 and 6733100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6733121) 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 7 ways as a sum of consecutive naturals, for example, 16762 + ... + 17158.

Almost surely, 2^6733120 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 6733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8188452).

6733120 is an abundant number, since it is smaller than the sum of its proper divisors (9643784).

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

6733120 is a wasteful number, since it uses less digits than its factorization.

6733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 6733120 is about 2594.8256203452. The cubic root of 6733120 is about 188.8304891869.

Adding to 6733120 its reverse (213376), we get a palindrome (6946496).

The spelling of 6733120 in words is "six million, seven hundred thirty-three thousand, one hundred twenty".