316416 has 44 divisors (see below), whose sum is σ = 851552. Its totient is φ = 104448.

The previous prime is 316403. The next prime is 316423. The reversal of 316416 is 614613.

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

Its product of digits (432) is a multiple of the sum of its prime divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 316392 and 316401.

It is a congruent number.

It is an unprimeable number.

316416 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3021 + ... + 3123.

2³¹⁶⁴¹⁶ 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 316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425776).

316416 is an abundant number, since it is smaller than the sum of its proper divisors (535136).

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

316416 is a wasteful number, since it uses less digits than its factorization.

316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 316416 is about 562.5086665999. The cubic root of 316416 is about 68.1427221519.

The spelling of 316416 in words is "three hundred sixteen thousand, four hundred sixteen".