331003068 has 48 divisors (see below), whose sum is σ = 846854400. Its totient is φ = 99792000.

The previous prime is 331003067. The next prime is 331003069. The reversal of 331003068 is 860300133.

It is an interprime number because it is at equal distance from previous prime (331003067) and next prime (331003069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331003067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19968 + ... + 32568.

It is an arithmetic number, because the mean of its divisors is an integer number (17642800).

Almost surely, 2^331003068 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 331003068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423427200).

331003068 is an abundant number, since it is smaller than the sum of its proper divisors (515851332).

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

331003068 is a wasteful number, since it uses less digits than its factorization.

331003068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12816 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 331003068 is about 18193.4897147304. The cubic root of 331003068 is about 691.7417788721.

The spelling of 331003068 in words is "three hundred thirty-one million, three thousand, sixty-eight".