313008768 has 96 divisors (see below), whose sum is σ = 906665760. Its totient is φ = 103647744.

The previous prime is 313008763. The next prime is 313008827. The reversal of 313008768 is 867800313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313008763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191571 + ... + 193197.

It is an arithmetic number, because the mean of its divisors is an integer number (9444435).

Almost surely, 2^313008768 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 313008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453332880).

313008768 is an abundant number, since it is smaller than the sum of its proper divisors (593656992).

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

313008768 is a wasteful number, since it uses less digits than its factorization.

313008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 313008768 is about 17692.0538095496. The cubic root of 313008768 is about 678.9724734941.

The spelling of 313008768 in words is "three hundred thirteen million, eight thousand, seven hundred sixty-eight".