33198768 has 160 divisors (see below), whose sum is σ = 102533120. Its totient is φ = 10264320.

The previous prime is 33198761. The next prime is 33198787. The reversal of 33198768 is 86789133.

It is a happy number.

It is a super-2 number, since 2×33198768² = 2204316393435648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33198761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 495471 + ... + 495537.

It is an arithmetic number, because the mean of its divisors is an integer number (640832).

Almost surely, 2^33198768 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 33198768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51266560).

33198768 is an abundant number, since it is smaller than the sum of its proper divisors (69334352).

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

33198768 is a wasteful number, since it uses less digits than its factorization.

33198768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 33198768 is about 5761.8372070026. The cubic root of 33198768 is about 321.3961394579.

It can be divided in two parts, 331 and 98768, that added together give a palindrome (99099).

The spelling of 33198768 in words is "thirty-three million, one hundred ninety-eight thousand, seven hundred sixty-eight".