313561768 has 64 divisors (see below), whose sum is σ = 654232320. Its totient is φ = 139968000.

The previous prime is 313561757. The next prime is 313561771. The reversal of 313561768 is 867165313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 313561768.

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 15 ways as a sum of consecutive naturals, for example, 643621 + ... + 644107.

It is an arithmetic number, because the mean of its divisors is an integer number (10222380).

Almost surely, 2^313561768 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 313561768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327116160).

313561768 is an abundant number, since it is smaller than the sum of its proper divisors (340670552).

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

313561768 is a wasteful number, since it uses less digits than its factorization.

313561768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 313561768 is about 17707.6753979736. The cubic root of 313561768 is about 679.3720904960.

It can be divided in two parts, 31356 and 1768, that added together give a square (33124 = 182²).

The spelling of 313561768 in words is "three hundred thirteen million, five hundred sixty-one thousand, seven hundred sixty-eight".