313608960 has 216 divisors, whose sum is σ = 1240380960. Its totient is φ = 71663616.

The previous prime is 313608937. The next prime is 313608973. The reversal of 313608960 is 69806313.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78696 + ... + 82584.

Almost surely, 2^313608960 is an apocalyptic number.

313608960 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 313608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620190480).

313608960 is an abundant number, since it is smaller than the sum of its proper divisors (926772000).

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

313608960 is a wasteful number, since it uses less digits than its factorization.

313608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3906 counting only the distinct ones).

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

The square root of 313608960 is about 17709.0078773487. The cubic root of 313608960 is about 679.4061713084.

The spelling of 313608960 in words is "three hundred thirteen million, six hundred eight thousand, nine hundred sixty".