163820160 has 384 divisors, whose sum is σ = 687398400. Its totient is φ = 35094528.

The previous prime is 163820141. The next prime is 163820219. The reversal of 163820160 is 61028361.

163820160 is a `hidden beast` number, since 1 + 638 + 20 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 685321 + ... + 685559.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^163820160 is an apocalyptic number.

163820160 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 163820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

163820160 is an abundant number, since it is smaller than the sum of its proper divisors (523578240).

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

163820160 is a wasteful number, since it uses less digits than its factorization.

163820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

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

The square root of 163820160 is about 12799.2249765367. The cubic root of 163820160 is about 547.1702148556.

The spelling of 163820160 in words is "one hundred sixty-three million, eight hundred twenty thousand, one hundred sixty".