333648 has 60 divisors (see below), whose sum is σ = 1070368. Its totient is φ = 95040.

The previous prime is 333647. The next prime is 333667. The reversal of 333648 is 846333.

333648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×333648² = 222641975808, 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 inconsummate number, since it does not exist a number n which divided by its sum of digits gives 333648.

It is not an unprimeable number, because it can be changed into a prime (333647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 843 + ... + 1173.

2³³³⁶⁴⁸ 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 333648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535184).

333648 is an abundant number, since it is smaller than the sum of its proper divisors (736720).

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

333648 is a wasteful number, since it uses less digits than its factorization.

333648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 333648 is about 577.6227142348. The cubic root of 333648 is about 69.3579383414.

The spelling of 333648 in words is "three hundred thirty-three thousand, six hundred forty-eight".