160056 has 80 divisors (see below), whose sum is σ = 508200. Its totient is φ = 46656.

The previous prime is 160049. The next prime is 160073. The reversal of 160056 is 650061.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 160056.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8415 + ... + 8433.

2¹⁶⁰⁰⁵⁶ 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 160056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254100).

160056 is an abundant number, since it is smaller than the sum of its proper divisors (348144).

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

160056 is a wasteful number, since it uses less digits than its factorization.

160056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 160056 is about 400.0699938761. The cubic root of 160056 is about 54.2946852342.

The spelling of 160056 in words is "one hundred sixty thousand, fifty-six".