161568160 has 96 divisors (see below), whose sum is σ = 414363600. Its totient is φ = 59179008.

The previous prime is 161568151. The next prime is 161568203. The reversal of 161568160 is 61865161.

It can be written as a sum of positive squares in 8 ways, for example, as 85599504 + 75968656 = 9252^2 + 8716^2 .

It is a super-2 number, since 2×161568160² = 52208540651571200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 359616 + ... + 360064.

Almost surely, 2^161568160 is an apocalyptic number.

161568160 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 161568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207181800).

161568160 is an abundant number, since it is smaller than the sum of its proper divisors (252795440).

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

161568160 is a wasteful number, since it uses less digits than its factorization.

161568160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 161568160 is about 12710.9464635801. The cubic root of 161568160 is about 544.6513607825.

The spelling of 161568160 in words is "one hundred sixty-one million, five hundred sixty-eight thousand, one hundred sixty".