330008 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 137760.

The previous prime is 329999. The next prime is 330017. The reversal of 330008 is 800033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (329999) and next prime (330017).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 329974 and 330001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3935 + ... + 4017.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³³⁰⁰⁰⁸ is an apocalyptic number.

330008 is the 332-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

330008 is an abundant number, since it is smaller than the sum of its proper divisors (395752).

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

330008 is a wasteful number, since it uses less digits than its factorization.

330008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 330008 is about 574.4632277178. The cubic root of 330008 is about 69.1047907136.

The spelling of 330008 in words is "three hundred thirty thousand, eight".