160318080 has 192 divisors, whose sum is σ = 596461320. Its totient is φ = 39444480.

The previous prime is 160318079. The next prime is 160318099. The reversal of 160318080 is 80813061.

It can be written as a sum of positive squares in 4 ways, for example, as 138862656 + 21455424 = 11784^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73810 + ... + 75950.

Almost surely, 2^160318080 is an apocalyptic number.

160318080 is a gapful number since it is divisible by the number (10) 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 160318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298230660).

160318080 is an abundant number, since it is smaller than the sum of its proper divisors (436143240).

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

160318080 is a wasteful number, since it uses less digits than its factorization.

160318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 160318080 is about 12661.6776139657. The cubic root of 160318080 is about 543.2430360018.

It can be divided in two parts, 1603 and 18080, that added together give a 9-th power (19683 = 3⁹).

The spelling of 160318080 in words is "one hundred sixty million, three hundred eighteen thousand, eighty".