33266664 has 48 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 11001120.

The previous prime is 33266657. The next prime is 33266677. The reversal of 33266664 is 46666233.

It is a super-2 number, since 2×33266664² = 2213341867377792, which contains 22 as substring.

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

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7669 + ... + 11195.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^33266664 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 33266664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405360).

33266664 is an abundant number, since it is smaller than the sum of its proper divisors (57544056).

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

33266664 is a wasteful number, since it uses less digits than its factorization.

33266664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3663 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 33266664 is about 5767.7260683913. The cubic root of 33266664 is about 321.6150898838.

It can be divided in two parts, 33266 and 664, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 33266664 in words is "thirty-three million, two hundred sixty-six thousand, six hundred sixty-four".