318142080 has 480 divisors, whose sum is σ = 1269621540. Its totient is φ = 75644928.

The previous prime is 318142043. The next prime is 318142087. The reversal of 318142080 is 80241813.

318142080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 316270656 + 1871424 = 17784^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (318142087) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16744311 + ... + 16744329.

Almost surely, 2^318142080 is an apocalyptic number.

318142080 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 318142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634810770).

318142080 is an abundant number, since it is smaller than the sum of its proper divisors (951479460).

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

318142080 is a wasteful number, since it uses less digits than its factorization.

318142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 318142080 is about 17836.5377806344. The cubic root of 318142080 is about 682.6640590992.

Adding to 318142080 its reverse (80241813), we get a palindrome (398383893).

The spelling of 318142080 in words is "three hundred eighteen million, one hundred forty-two thousand, eighty".