165580160 has 64 divisors (see below), whose sum is σ = 397640880. Its totient is φ = 65931264.

The previous prime is 165580159. The next prime is 165580171. The reversal of 165580160 is 61085561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187079 + ... + 187961.

Almost surely, 2^165580160 is an apocalyptic number.

165580160 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 165580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198820440).

165580160 is an abundant number, since it is smaller than the sum of its proper divisors (232060720).

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

165580160 is an equidigital number, since it uses as much as digits as its factorization.

165580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 165580160 is about 12867.7954599846. The cubic root of 165580160 is about 549.1227447642.

The spelling of 165580160 in words is "one hundred sixty-five million, five hundred eighty thousand, one hundred sixty".