33460 has 24 divisors (see below), whose sum is σ = 80640. Its totient is φ = 11424.

The previous prime is 33457. The next prime is 33461. The reversal of 33460 is 6433.

It is a happy number.

33460 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×33460² = 2239143200, which contains 22 as substring.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³³⁴⁶⁰ 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 33460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

33460 is an abundant number, since it is smaller than the sum of its proper divisors (47180).

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

33460 is a wasteful number, since it uses less digits than its factorization.

33460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 33460 is about 182.9207478664. The cubic root of 33460 is about 32.2236930671.

Adding to 33460 its reverse (6433), we get a palindrome (39893).

The spelling of 33460 in words is "thirty-three thousand, four hundred sixty".