33987168 has 96 divisors (see below), whose sum is σ = 100195200. Its totient is φ = 11207808.

The previous prime is 33987167. The next prime is 33987197. The reversal of 33987168 is 86178933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33987167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119955 + ... + 120237.

It is an arithmetic number, because the mean of its divisors is an integer number (1043700).

Almost surely, 2^33987168 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 33987168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50097600).

33987168 is an abundant number, since it is smaller than the sum of its proper divisors (66208032).

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

33987168 is a wasteful number, since it uses less digits than its factorization.

33987168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

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

The square root of 33987168 is about 5829.8514560836. The cubic root of 33987168 is about 323.9204194126.

The spelling of 33987168 in words is "thirty-three million, nine hundred eighty-seven thousand, one hundred sixty-eight".