318661560 has 256 divisors, whose sum is σ = 1235635200. Its totient is φ = 71539200.

The previous prime is 318661547. The next prime is 318661579. The reversal of 318661560 is 65166813.

It is a happy number.

318661560 is a `hidden beast` number, since 31 + 8 + 6 + 61 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 460815 + ... + 461505.

It is an arithmetic number, because the mean of its divisors is an integer number (4826700).

Almost surely, 2^318661560 is an apocalyptic number.

318661560 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 318661560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617817600).

318661560 is an abundant number, since it is smaller than the sum of its proper divisors (916973640).

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

318661560 is a wasteful number, since it uses less digits than its factorization.

318661560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 318661560 is about 17851.0940841171. The cubic root of 318661560 is about 683.0354209347.

It can be divided in two parts, 3186 and 61560, that added together give a palindrome (64746).

The spelling of 318661560 in words is "three hundred eighteen million, six hundred sixty-one thousand, five hundred sixty".