33468144 has 40 divisors (see below), whose sum is σ = 86757840. Its totient is φ = 11117568.

The previous prime is 33468119. The next prime is 33468157. The reversal of 33468144 is 44186433.

It is a happy number.

It is a super-2 number, since 2×33468144² = 2240233325609472, which contains 22 as substring.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15142 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (2168946).

Almost surely, 2^33468144 is an apocalyptic number.

It is an amenable number.

33468144 is an abundant number, since it is smaller than the sum of its proper divisors (53289696).

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

33468144 is a wasteful number, since it uses less digits than its factorization.

33468144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2411 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 33468144 is about 5785.1658576051. The cubic root of 33468144 is about 322.2630721804.

The spelling of 33468144 in words is "thirty-three million, four hundred sixty-eight thousand, one hundred forty-four".