316064 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 125952.

The previous prime is 316051. The next prime is 316067. The reversal of 316064 is 460613.

316064 = T₁₁₉ + T₁₂₀ + ... + T₁₅₂.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 316064.

It is not an unprimeable number, because it can be changed into a prime (316067) by changing a digit.

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, 3767 + ... + 3849.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2³¹⁶⁰⁶⁴ is an apocalyptic number.

316064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

316064 is an abundant number, since it is smaller than the sum of its proper divisors (445984).

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

316064 is a wasteful number, since it uses less digits than its factorization.

316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 316064 is about 562.1956954656. The cubic root of 316064 is about 68.1174441021.

Adding to 316064 its reverse (460613), we get a palindrome (776677).

The spelling of 316064 in words is "three hundred sixteen thousand, sixty-four".