316864080 has 240 divisors, whose sum is σ = 1161123600. Its totient is φ = 76972032.

The previous prime is 316864069. The next prime is 316864081. The reversal of 316864080 is 80468613.

It is a happy number.

316864080 is a `hidden beast` number, since 3 + 1 + 6 + 8 + 640 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9072144 + 307791936 = 3012^2 + 17544^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (316864081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907746 + ... + 908094.

It is an arithmetic number, because the mean of its divisors is an integer number (4838015).

Almost surely, 2^316864080 is an apocalyptic number.

316864080 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 316864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580561800).

316864080 is an abundant number, since it is smaller than the sum of its proper divisors (844259520).

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

316864080 is a wasteful number, since it uses less digits than its factorization.

316864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 316864080 is about 17800.6763916431. The cubic root of 316864080 is about 681.7487285375.

The spelling of 316864080 in words is "three hundred sixteen million, eight hundred sixty-four thousand, eighty".