161660160 has 108 divisors (see below), whose sum is σ = 559367172. Its totient is φ = 43106304.

The previous prime is 161660131. The next prime is 161660183. The reversal of 161660160 is 61066161.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 125081856 = 6048^2 + 11184^2 .

It is a super-2 number, since 2×161660160² = 52268014662451200, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4504 + ... + 18536.

Almost surely, 2^161660160 is an apocalyptic number.

161660160 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 161660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279683586).

161660160 is an abundant number, since it is smaller than the sum of its proper divisors (397707012).

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

161660160 is a wasteful number, since it uses less digits than its factorization.

161660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14060 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 161660160 is about 12714.5648765500. The cubic root of 161660160 is about 544.7547194669.

It can be divided in two parts, 1616 and 60160, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 161660160 in words is "one hundred sixty-one million, six hundred sixty thousand, one hundred sixty".