33120516 has 48 divisors (see below), whose sum is σ = 90796608. Its totient is φ = 9264000.

The previous prime is 33120487. The next prime is 33120517. The reversal of 33120516 is 61502133.

It is a junction number, because it is equal to n+sod(n) for n = 33120492 and 33120501.

It is not an unprimeable number, because it can be changed into a prime (33120517) 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 15 ways as a sum of consecutive naturals, for example, 7935 + ... + 11366.

It is an arithmetic number, because the mean of its divisors is an integer number (1891596).

Almost surely, 2^33120516 is an apocalyptic number.

It is an amenable number.

33120516 is an abundant number, since it is smaller than the sum of its proper divisors (57676092).

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

33120516 is a wasteful number, since it uses less digits than its factorization.

33120516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19332 (or 19330 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 33120516 is about 5755.0426583997. The cubic root of 33120516 is about 321.1434224827.

Adding to 33120516 its reverse (61502133), we get a palindrome (94622649).

The spelling of 33120516 in words is "thirty-three million, one hundred twenty thousand, five hundred sixteen".