313765920 has 384 divisors, whose sum is σ = 1222663680. Its totient is φ = 74649600.

The previous prime is 313765909. The next prime is 313765927. The reversal of 313765920 is 29567313.

313765920 is a `hidden beast` number, since 31 + 37 + 6 + 592 + 0 = 666.

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 (313765927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2077845 + ... + 2077995.

It is an arithmetic number, because the mean of its divisors is an integer number (3184020).

Almost surely, 2^313765920 is an apocalyptic number.

313765920 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 313765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611331840).

313765920 is an abundant number, since it is smaller than the sum of its proper divisors (908897760).

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

313765920 is a wasteful number, since it uses less digits than its factorization.

313765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 313765920 is about 17713.4389659377. The cubic root of 313765920 is about 679.5194990725.

The spelling of 313765920 in words is "three hundred thirteen million, seven hundred sixty-five thousand, nine hundred twenty".