33152064 has 84 divisors (see below), whose sum is σ = 96481392. Its totient is φ = 10039040.

The previous prime is 33152059. The next prime is 33152087. The reversal of 33152064 is 46025133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22519 + ... + 23945.

It is an arithmetic number, because the mean of its divisors is an integer number (1148588).

Almost surely, 2^33152064 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 33152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48240696).

33152064 is an abundant number, since it is smaller than the sum of its proper divisors (63329328).

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

33152064 is a wasteful number, since it uses less digits than its factorization.

33152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 33152064 is about 5757.7829066404. The cubic root of 33152064 is about 321.2453554517.

Adding to 33152064 its reverse (46025133), we get a palindrome (79177197).

The spelling of 33152064 in words is "thirty-three million, one hundred fifty-two thousand, sixty-four".