319968 has 72 divisors (see below), whose sum is σ = 1002456. Its totient is φ = 96000.

The previous prime is 319967. The next prime is 319973. The reversal of 319968 is 869913.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3118 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (13923).

2³¹⁹⁹⁶⁸ 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 319968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501228).

319968 is an abundant number, since it is smaller than the sum of its proper divisors (682488).

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

319968 is a wasteful number, since it uses less digits than its factorization.

319968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 319968 is about 565.6571399708. The cubic root of 319968 is about 68.3967578231.

319968 divided by its sum of digits (36) gives a palindrome (8888).

Subtracting 319968 from its reverse (869913), we obtain a palindrome (549945).

It can be divided in two parts, 31 and 9968, that added together give a palindrome (9999).

The spelling of 319968 in words is "three hundred nineteen thousand, nine hundred sixty-eight".