318986640 has 480 divisors, whose sum is σ = 1352175360. Its totient is φ = 67682304.

The previous prime is 318986597. The next prime is 318986641. The reversal of 318986640 is 46689813.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (318986641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4369644 + ... + 4369716.

It is an arithmetic number, because the mean of its divisors is an integer number (2817032).

Almost surely, 2^318986640 is an apocalyptic number.

318986640 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 318986640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676087680).

318986640 is an abundant number, since it is smaller than the sum of its proper divisors (1033188720).

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

318986640 is a wasteful number, since it uses less digits than its factorization.

318986640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 318986640 is about 17860.1970873784. The cubic root of 318986640 is about 683.2676063426.

The spelling of 318986640 in words is "three hundred eighteen million, nine hundred eighty-six thousand, six hundred forty".