331968 has 112 divisors (see below), whose sum is σ = 1137920. Its totient is φ = 82944.

The previous prime is 331967. The next prime is 331973. The reversal of 331968 is 869133.

331968 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×331968² = 220405506048, which contains 22 as substring.

Its product of digits (3888) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (331967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17463 + ... + 17481.

It is an arithmetic number, because the mean of its divisors is an integer number (10160).

2³³¹⁹⁶⁸ is an apocalyptic number.

331968 is a gapful number since it is divisible by the number (38) 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 331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568960).

331968 is an abundant number, since it is smaller than the sum of its proper divisors (805952).

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

331968 is a wasteful number, since it uses less digits than its factorization.

331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 44 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 331968 is about 576.1666425610. The cubic root of 331968 is about 69.2413309622.

The spelling of 331968 in words is "three hundred thirty-one thousand, nine hundred sixty-eight".