316620144 has 160 divisors (see below), whose sum is σ = 952320000. Its totient is φ = 100590336.

The previous prime is 316620133. The next prime is 316620149. The reversal of 316620144 is 441026613.

316620144 is a `hidden beast` number, since 31 + 6 + 620 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316620149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1590957 + ... + 1591155.

It is an arithmetic number, because the mean of its divisors is an integer number (5952000).

Almost surely, 2^316620144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316620144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476160000).

316620144 is an abundant number, since it is smaller than the sum of its proper divisors (635699856).

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

316620144 is a wasteful number, since it uses less digits than its factorization.

316620144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 316620144 is about 17793.8231979527. The cubic root of 316620144 is about 681.5737368377.

Adding to 316620144 its reverse (441026613), we get a palindrome (757646757).

The spelling of 316620144 in words is "three hundred sixteen million, six hundred twenty thousand, one hundred forty-four".