313320960 has 200 divisors, whose sum is σ = 1122959376. Its totient is φ = 83496960.

The previous prime is 313320913. The next prime is 313320971. The reversal of 313320960 is 69023313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206605 + ... + 208115.

Almost surely, 2^313320960 is an apocalyptic number.

313320960 is a gapful number since it is divisible by the number (30) 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 313320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561479688).

313320960 is an abundant number, since it is smaller than the sum of its proper divisors (809638416).

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

313320960 is an equidigital number, since it uses as much as digits as its factorization.

313320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 313320960 is about 17700.8745546654. The cubic root of 313320960 is about 679.1981320729.

The spelling of 313320960 in words is "three hundred thirteen million, three hundred twenty thousand, nine hundred sixty".