313835920 has 160 divisors (see below), whose sum is σ = 822804480. Its totient is φ = 110753280.

The previous prime is 313835903. The next prime is 313836011. The reversal of 313835920 is 29538313.

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 31 ways as a sum of consecutive naturals, for example, 1643025 + ... + 1643215.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2^313835920 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 313835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411402240).

313835920 is an abundant number, since it is smaller than the sum of its proper divisors (508968560).

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

313835920 is a wasteful number, since it uses less digits than its factorization.

313835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 313835920 is about 17715.4147566463. The cubic root of 313835920 is about 679.5700280657.

The spelling of 313835920 in words is "three hundred thirteen million, eight hundred thirty-five thousand, nine hundred twenty".