33060 has 48 divisors (see below), whose sum is σ = 100800. Its totient is φ = 8064.

The previous prime is 33053. The next prime is 33071. The reversal of 33060 is 6033.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

33060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2³³⁰⁶⁰ is an apocalyptic number.

33060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

33060 is an abundant number, since it is smaller than the sum of its proper divisors (67740).

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

33060 is a wasteful number, since it uses less digits than its factorization.

33060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 33060 is about 181.8240908131. The cubic root of 33060 is about 32.0947711323.

Adding to 33060 its reverse (6033), we get a palindrome (39093).

It can be divided in two parts, 3 and 3060, that multiplied together give a triangular number (9180 = T₁₃₅).

The spelling of 33060 in words is "thirty-three thousand, sixty".