313120608 has 192 divisors, whose sum is σ = 914457600. Its totient is φ = 93450240.

The previous prime is 313120543. The next prime is 313120609. The reversal of 313120608 is 806021313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313120609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3963513 + ... + 3963591.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^313120608 is an apocalyptic number.

313120608 is a gapful number since it is divisible by the number (38) 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 313120608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

313120608 is an abundant number, since it is smaller than the sum of its proper divisors (601336992).

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

313120608 is a wasteful number, since it uses less digits than its factorization.

313120608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 313120608 is about 17695.2142682704. The cubic root of 313120608 is about 679.0533309086.

The spelling of 313120608 in words is "three hundred thirteen million, one hundred twenty thousand, six hundred eight".