33468 has 12 divisors (see below), whose sum is σ = 78120. Its totient is φ = 11152.

The previous prime is 33461. The next prime is 33469. The reversal of 33468 is 86433.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×33468² = 2240214048, which contains 22 as substring.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33461) by changing a digit.

33468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1383 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2³³⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

33468 is an abundant number, since it is smaller than the sum of its proper divisors (44652).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060).

33468 is a wasteful number, since it uses less digits than its factorization.

33468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2794 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 33468 is about 182.9426139531. The cubic root of 33468 is about 32.2262609990.

It can be divided in two parts, 3 and 3468, that multiplied together give a square (10404 = 102²).

The spelling of 33468 in words is "thirty-three thousand, four hundred sixty-eight".