33125664 has 192 divisors, whose sum is σ = 108380160. Its totient is φ = 8709120.

The previous prime is 33125657. The next prime is 33125669. The reversal of 33125664 is 46652133.

It is not an unprimeable number, because it can be changed into a prime (33125669) 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, 260769 + ... + 260895.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 2^33125664 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 33125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

33125664 is an abundant number, since it is smaller than the sum of its proper divisors (75254496).

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

33125664 is a wasteful number, since it uses less digits than its factorization.

33125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 33125664 is about 5755.4899009554. The cubic root of 33125664 is about 321.1600603142.

Adding to 33125664 its reverse (46652133), we get a palindrome (79777797).

The spelling of 33125664 in words is "thirty-three million, one hundred twenty-five thousand, six hundred sixty-four".