316008 has 128 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 77760.

The previous prime is 316003. The next prime is 316031. The reversal of 316008 is 800613.

316008 = T₇₇ + T₇₈ + ... + T₁₃₂.

It is a super-2 number, since 2×316008² = 199722112128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (316003) by changing a digit.

316008 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 31 ways as a sum of consecutive naturals, for example, 16623 + ... + 16641.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2³¹⁶⁰⁰⁸ is an apocalyptic number.

316008 is a gapful number since it is divisible by the number (38) 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 316008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576000).

316008 is an abundant number, since it is smaller than the sum of its proper divisors (835992).

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

316008 is a wasteful number, since it uses less digits than its factorization.

316008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 316008 is about 562.1458885378. The cubic root of 316008 is about 68.1134208640.

The spelling of 316008 in words is "three hundred sixteen thousand, eight".