313066880 has 192 divisors, whose sum is σ = 889542000. Its totient is φ = 105025536.

The previous prime is 313066867. The next prime is 313066891. The reversal of 313066880 is 88660313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 313066880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101046 + ... + 2101194.

Almost surely, 2^313066880 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 313066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444771000).

313066880 is an abundant number, since it is smaller than the sum of its proper divisors (576475120).

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

313066880 is a wasteful number, since it uses less digits than its factorization.

313066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 313066880 is about 17693.6960525493. The cubic root of 313066880 is about 679.0144893638.

The spelling of 313066880 in words is "three hundred thirteen million, sixty-six thousand, eight hundred eighty".