160056000 has 560 divisors, whose sum is σ = 671230560. Its totient is φ = 37324800.

The previous prime is 160055983. The next prime is 160056023. The reversal of 160056000 is 650061.

160056000 is a `hidden beast` number, since 1 + 60 + 0 + 5 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8423991 + ... + 8424009.

It is an arithmetic number, because the mean of its divisors is an integer number (1198626).

Almost surely, 2^160056000 is an apocalyptic number.

160056000 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 160056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335615280).

160056000 is an abundant number, since it is smaller than the sum of its proper divisors (511174560).

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

160056000 is a wasteful number, since it uses less digits than its factorization.

160056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

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

The square root of 160056000 is about 12651.3240413800. The cubic root of 160056000 is about 542.9468523422.

It can be divided in two parts, 1600 and 56000, that added together give a square (57600 = 240²).

The spelling of 160056000 in words is "one hundred sixty million, fifty-six thousand".