310968 has 48 divisors (see below), whose sum is σ = 964080. Its totient is φ = 88704.

The previous prime is 310949. The next prime is 310969. The reversal of 310968 is 869013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (20085).

2³¹⁰⁹⁶⁸ 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 310968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482040).

310968 is an abundant number, since it is smaller than the sum of its proper divisors (653112).

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

310968 is a wasteful number, since it uses less digits than its factorization.

310968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 310968 is about 557.6450483955. The cubic root of 310968 is about 67.7493656981.

The spelling of 310968 in words is "three hundred ten thousand, nine hundred sixty-eight".