313880 has 64 divisors (see below), whose sum is σ = 864000. Its totient is φ = 100224.

The previous prime is 313879. The next prime is 313883. The reversal of 313880 is 88313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313883) 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 15 ways as a sum of consecutive naturals, for example, 5291 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2³¹³⁸⁸⁰ 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 313880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

313880 is an abundant number, since it is smaller than the sum of its proper divisors (550120).

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

313880 is a wasteful number, since it uses less digits than its factorization.

313880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 313880 is about 560.2499442213. The cubic root of 313880 is about 67.9601843039.

The spelling of 313880 in words is "three hundred thirteen thousand, eight hundred eighty".