33064320 has 128 divisors (see below), whose sum is σ = 111702240. Its totient is φ = 8290304.

The previous prime is 33064289. The next prime is 33064349. The reversal of 33064320 is 2346033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32134 + ... + 33146.

Almost surely, 2^33064320 is an apocalyptic number.

33064320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55851120).

33064320 is an abundant number, since it is smaller than the sum of its proper divisors (78637920).

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

33064320 is a wasteful number, since it uses less digits than its factorization.

33064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 33064320 is about 5750.1582586917. The cubic root of 33064320 is about 320.9616902874.

It can be divided in two parts, 3306 and 4320, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 33064320 in words is "thirty-three million, sixty-four thousand, three hundred twenty".