313600968 has 36 divisors (see below), whose sum is σ = 849743115. Its totient is φ = 104483568.

The previous prime is 313600927. The next prime is 313600979. The reversal of 313600968 is 869006313.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 156800484 + 156800484 = 12522^2 + 12522^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12522.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149221 + ... + 151307.

Almost surely, 2^313600968 is an apocalyptic number.

It is an amenable number.

313600968 is an abundant number, since it is smaller than the sum of its proper divisors (536142147).

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

313600968 is an equidigital number, since it uses as much as digits as its factorization.

313600968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 313600968 is about 17708.7822280359. The cubic root of 313600968 is about 679.4003999382.

Multiplying 313600968 by its product of nonzero digits (23328), we get a square (7315683381504 = 2704752²).

The spelling of 313600968 in words is "three hundred thirteen million, six hundred thousand, nine hundred sixty-eight".