160085016 has 192 divisors, whose sum is σ = 544864320. Its totient is φ = 41333760.

The previous prime is 160084997. The next prime is 160085021. The reversal of 160085016 is 610580061.

160085016 is a `hidden beast` number, since 1 + 600 + 8 + 50 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 347026 + ... + 347486.

It is an arithmetic number, because the mean of its divisors is an integer number (2837835).

Almost surely, 2^160085016 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 160085016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272432160).

160085016 is an abundant number, since it is smaller than the sum of its proper divisors (384779304).

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

160085016 is a wasteful number, since it uses less digits than its factorization.

160085016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 160085016 is about 12652.4707468541. The cubic root of 160085016 is about 542.9796600136.

It can be divided in two parts, 16008 and 5016, that multiplied together give a triangular number (80296128 = T₁₂₆₇₂).

The spelling of 160085016 in words is "one hundred sixty million, eighty-five thousand, sixteen".