33144096 has 48 divisors (see below), whose sum is σ = 88318944. Its totient is φ = 10881024.

The previous prime is 33144077. The next prime is 33144109. The reversal of 33144096 is 69044133.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3856 + ... + 9008.

It is an arithmetic number, because the mean of its divisors is an integer number (1839978).

Almost surely, 2^33144096 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 33144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44159472).

33144096 is an abundant number, since it is smaller than the sum of its proper divisors (55174848).

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

33144096 is a wasteful number, since it uses less digits than its factorization.

33144096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 33144096 is about 5757.0909320594. The cubic root of 33144096 is about 321.2196166009.

The spelling of 33144096 in words is "thirty-three million, one hundred forty-four thousand, ninety-six".