316768320 has 420 divisors, whose sum is σ = 1250812332. Its totient is φ = 76032000.

The previous prime is 316768307. The next prime is 316768321. The reversal of 316768320 is 23867613.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 226442304 + 90326016 = 15048^2 + 9504^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316768321) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136270 + ... + 3136370.

Almost surely, 2^316768320 is an apocalyptic number.

316768320 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 316768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625406166).

316768320 is an abundant number, since it is smaller than the sum of its proper divisors (934044012).

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

316768320 is a wasteful number, since it uses less digits than its factorization.

316768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 316768320 is about 17797.9864029614. The cubic root of 316768320 is about 681.6800441604.

The spelling of 316768320 in words is "three hundred sixteen million, seven hundred sixty-eight thousand, three hundred twenty".