313760 has 48 divisors (see below), whose sum is σ = 775656. Its totient is φ = 119808.

The previous prime is 313741. The next prime is 313763. The reversal of 313760 is 67313.

It can be written as a sum of positive squares in 4 ways, for example, as 309136 + 4624 = 556^2 + 68^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313763) by changing a digit.

313760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5894 + ... + 5946.

2³¹³⁷⁶⁰ 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 313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387828).

313760 is an abundant number, since it is smaller than the sum of its proper divisors (461896).

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

313760 is a wasteful number, since it uses less digits than its factorization.

313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

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

The square root of 313760 is about 560.1428389259. The cubic root of 313760 is about 67.9515225419.

The spelling of 313760 in words is "three hundred thirteen thousand, seven hundred sixty".