331668 has 48 divisors (see below), whose sum is σ = 893760. Its totient is φ = 106272.

The previous prime is 331663. The next prime is 331691. The reversal of 331668 is 866133.

It is a super-2 number, since 2×331668² = 220007324448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 331668.

It is not an unprimeable number, because it can be changed into a prime (331663) by changing a digit.

331668 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 15 ways as a sum of consecutive naturals, for example, 3955 + ... + 4037.

It is an arithmetic number, because the mean of its divisors is an integer number (18620).

2³³¹⁶⁶⁸ 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 331668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446880).

331668 is an abundant number, since it is smaller than the sum of its proper divisors (562092).

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

331668 is a wasteful number, since it uses less digits than its factorization.

331668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 331668 is about 575.9062423694. The cubic root of 331668 is about 69.2204668430.

It can be divided in two parts, 331 and 668, that added together give a palindrome (999).

The spelling of 331668 in words is "three hundred thirty-one thousand, six hundred sixty-eight".