316880 has 40 divisors (see below), whose sum is σ = 783432. Its totient is φ = 118784.

The previous prime is 316879. The next prime is 316891. The reversal of 316880 is 88613.

316880 = T₈₅ + T₈₆ + ... + T₁₃₅.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 287296 = 172^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 12.

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 316880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1244 + ... + 1476.

2³¹⁶⁸⁸⁰ 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 316880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391716).

316880 is an abundant number, since it is smaller than the sum of its proper divisors (466552).

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

316880 is a wasteful number, since it uses less digits than its factorization.

316880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 316880 is about 562.9209535983. The cubic root of 316880 is about 68.1760145902.

The spelling of 316880 in words is "three hundred sixteen thousand, eight hundred eighty".