33554664 has 96 divisors (see below), whose sum is σ = 106797600. Its totient is φ = 9383040.

The previous prime is 33554641. The next prime is 33554693. The reversal of 33554664 is 46645533.

It is a super-3 number, since 3×33554664³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8667 + ... + 11925.

It is an arithmetic number, because the mean of its divisors is an integer number (1112475).

Almost surely, 2^33554664 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 33554664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53398800).

33554664 is an abundant number, since it is smaller than the sum of its proper divisors (73242936).

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

33554664 is a wasteful number, since it uses less digits than its factorization.

33554664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3288 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 33554664 is about 5792.6387769306. The cubic root of 33554664 is about 322.5405321330.

The spelling of 33554664 in words is "thirty-three million, five hundred fifty-four thousand, six hundred sixty-four".