331760 has 80 divisors (see below), whose sum is σ = 937440. Its totient is φ = 107520.

The previous prime is 331753. The next prime is 331769. The reversal of 331760 is 67133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×331760² = 220129395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a zygodrome in base 4.

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 331760.

It is not an unprimeable number, because it can be changed into a prime (331769) by changing a digit.

331760 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, 11426 + ... + 11454.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2³³¹⁷⁶⁰ 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 331760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

331760 is an abundant number, since it is smaller than the sum of its proper divisors (605680).

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

331760 is a wasteful number, since it uses less digits than its factorization.

331760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 331760 is about 575.9861109437. The cubic root of 331760 is about 69.2268665100.

Adding to 331760 its reverse (67133), we get a palindrome (398893).

The spelling of 331760 in words is "three hundred thirty-one thousand, seven hundred sixty".