160066080 has 144 divisors (see below), whose sum is σ = 565208280. Its totient is φ = 41201664.

The previous prime is 160066079. The next prime is 160066097. The reversal of 160066080 is 80660061.

It can be written as a sum of positive squares in 4 ways, for example, as 108743184 + 51322896 = 10428^2 + 7164^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×160066080² = 51242299933132800, which contains 22 as substring.

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, 39844 + ... + 43676.

Almost surely, 2^160066080 is an apocalyptic number.

160066080 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 160066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282604140).

160066080 is an abundant number, since it is smaller than the sum of its proper divisors (405142200).

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

160066080 is a wasteful number, since it uses less digits than its factorization.

160066080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 160066080 is about 12651.7224123832. The cubic root of 160066080 is about 542.9582499976.

The spelling of 160066080 in words is "one hundred sixty million, sixty-six thousand, eighty".