330912 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 110016.

The previous prime is 330907. The next prime is 330917. The reversal of 330912 is 219033.

330912 = T₆₈ + T₆₉ + ... + T₁₃₁.

330912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (330907) and next prime (330917).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 330912.

It is not an unprimeable number, because it can be changed into a prime (330917) by changing a digit.

330912 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 7 ways as a sum of consecutive naturals, for example, 673 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³³⁰⁹¹² is an apocalyptic number.

330912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

330912 is the 288-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

330912 is an abundant number, since it is smaller than the sum of its proper divisors (636768).

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

330912 is a wasteful number, since it uses less digits than its factorization.

330912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 330912 is about 575.2495110819. The cubic root of 330912 is about 69.1678334024.

Adding to 330912 its reverse (219033), we get a palindrome (549945).

It can be divided in two parts, 3309 and 12, that added together give a triangular number (3321 = T₈₁).

The spelling of 330912 in words is "three hundred thirty thousand, nine hundred twelve".