316607616 has 288 divisors, whose sum is σ = 1053971100. Its totient is φ = 94058496.

The previous prime is 316607611. The next prime is 316607657. The reversal of 316607616 is 616706613.

316607616 is a `hidden beast` number, since 31 + 6 + 6 + 0 + 7 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 306110016 + 10497600 = 17496^2 + 3240^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (316607611) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10917490 + ... + 10917518.

Almost surely, 2^316607616 is an apocalyptic number.

316607616 is a gapful number since it is divisible by the number (36) 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 316607616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526985550).

316607616 is an abundant number, since it is smaller than the sum of its proper divisors (737363484).

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

316607616 is an frugal number, since it uses more digits than its factorization.

316607616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 316607616 is about 17793.4711621988. The cubic root of 316607616 is about 681.5647472345.

The spelling of 316607616 in words is "three hundred sixteen million, six hundred seven thousand, six hundred sixteen".