316208640 has 320 divisors, whose sum is σ = 1166711040. Its totient is φ = 72253440.

The previous prime is 316208597. The next prime is 316208677. The reversal of 316208640 is 46802613.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 316208598 and 316208607.

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, 1605022 + ... + 1605218.

It is an arithmetic number, because the mean of its divisors is an integer number (3645972).

Almost surely, 2^316208640 is an apocalyptic number.

316208640 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 316208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583355520).

316208640 is an abundant number, since it is smaller than the sum of its proper divisors (850502400).

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

316208640 is a wasteful number, since it uses less digits than its factorization.

316208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 316208640 is about 17782.2563247750. The cubic root of 316208640 is about 681.2783335297.

The spelling of 316208640 in words is "three hundred sixteen million, two hundred eight thousand, six hundred forty".