333960 has 96 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 77440.

The previous prime is 333959. The next prime is 333973. The reversal of 333960 is 69333.

It is a super-2 number, since 2×333960² = 223058563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 333960.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14509 + ... + 14531.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2³³³⁹⁶⁰ is an apocalyptic number.

333960 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 333960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

333960 is an abundant number, since it is smaller than the sum of its proper divisors (815160).

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

333960 is a wasteful number, since it uses less digits than its factorization.

333960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 333960 is about 577.8927236088. The cubic root of 333960 is about 69.3795508743.

It can be divided in two parts, 33 and 3960, that added together give a palindrome (3993).

The spelling of 333960 in words is "three hundred thirty-three thousand, nine hundred sixty".