316128 has 48 divisors (see below), whose sum is σ = 861840. Its totient is φ = 101376.

The previous prime is 316109. The next prime is 316133. The reversal of 316128 is 821613.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 316128.

It is an unprimeable number.

316128 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 7 ways as a sum of consecutive naturals, for example, 3508 + ... + 3596.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2³¹⁶¹²⁸ 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 316128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

316128 is an abundant number, since it is smaller than the sum of its proper divisors (545712).

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

316128 is a wasteful number, since it uses less digits than its factorization.

316128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 316128 is about 562.2526122661. The cubic root of 316128 is about 68.1220415066.

It can be divided in two parts, 316 and 128, that added together give a palindrome (444).

The spelling of 316128 in words is "three hundred sixteen thousand, one hundred twenty-eight".