316968000 has 224 divisors, whose sum is σ = 1072700928. Its totient is φ = 82432000.

The previous prime is 316967969. The next prime is 316968019. The reversal of 316968000 is 869613.

316968000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127860 + ... + 1128140.

Almost surely, 2^316968000 is an apocalyptic number.

316968000 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 316968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536350464).

316968000 is an abundant number, since it is smaller than the sum of its proper divisors (755732928).

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

316968000 is a wasteful number, since it uses less digits than its factorization.

316968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 316968000 is about 17803.5951425548. The cubic root of 316968000 is about 681.8232500633.

The spelling of 316968000 in words is "three hundred sixteen million, nine hundred sixty-eight thousand".