33221664 has 120 divisors (see below), whose sum is σ = 111722688. Its totient is φ = 9486720.

The previous prime is 33221651. The next prime is 33221693. The reversal of 33221664 is 46612233.

It is a super-2 number, since 2×33221664² = 2207357917857792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 17229 + ... + 19059.

Almost surely, 2^33221664 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 33221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55861344).

33221664 is an abundant number, since it is smaller than the sum of its proper divisors (78501024).

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

33221664 is a wasteful number, since it uses less digits than its factorization.

33221664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1843 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 33221664 is about 5763.8237308231. The cubic root of 33221664 is about 321.4700076105.

Adding to 33221664 its reverse (46612233), we get a palindrome (79833897).

The spelling of 33221664 in words is "thirty-three million, two hundred twenty-one thousand, six hundred sixty-four".