33290064 has 60 divisors (see below), whose sum is σ = 93844192. Its totient is φ = 11016000.

The previous prime is 33290051. The next prime is 33290069. The reversal of 33290064 is 46009233.

It is a super-2 number, since 2×33290064² = 2216456722248192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33290069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20979 + ... + 22509.

Almost surely, 2^33290064 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 33290064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46922096).

33290064 is an abundant number, since it is smaller than the sum of its proper divisors (60554128).

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

33290064 is a wasteful number, since it uses less digits than its factorization.

33290064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 33290064 is about 5769.7542408668. The cubic root of 33290064 is about 321.6904809642.

Adding to 33290064 its reverse (46009233), we get a palindrome (79299297).

The spelling of 33290064 in words is "thirty-three million, two hundred ninety thousand, sixty-four".