33564768 has 96 divisors (see below), whose sum is σ = 92606976. Its totient is φ = 10633728.

The previous prime is 33564767. The next prime is 33564859. The reversal of 33564768 is 86746533.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33564768² = 2253187301787648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33564761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193930 + ... + 194102.

It is an arithmetic number, because the mean of its divisors is an integer number (964656).

Almost surely, 2^33564768 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 33564768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46303488).

33564768 is an abundant number, since it is smaller than the sum of its proper divisors (59042208).

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

33564768 is a wasteful number, since it uses less digits than its factorization.

33564768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 33564768 is about 5793.5108526696. The cubic root of 33564768 is about 322.5729034151.

The spelling of 33564768 in words is "thirty-three million, five hundred sixty-four thousand, seven hundred sixty-eight".