161205160 has 64 divisors (see below), whose sum is σ = 381542400. Its totient is φ = 61180416.

The previous prime is 161205103. The next prime is 161205167. The reversal of 161205160 is 61502161.

It is a super-2 number, since 2×161205160² = 51974207221251200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161205167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125401 + ... + 126679.

It is an arithmetic number, because the mean of its divisors is an integer number (5961600).

Almost surely, 2^161205160 is an apocalyptic number.

161205160 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 161205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190771200).

161205160 is an abundant number, since it is smaller than the sum of its proper divisors (220337240).

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

161205160 is a wasteful number, since it uses less digits than its factorization.

161205160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 161205160 is about 12696.6594031659. The cubic root of 161205160 is about 544.2431601096.

The spelling of 161205160 in words is "one hundred sixty-one million, two hundred five thousand, one hundred sixty".