165518080 has 288 divisors, whose sum is σ = 515088000. Its totient is φ = 50577408.

The previous prime is 165518039. The next prime is 165518113. The reversal of 165518080 is 80815561.

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 31 ways as a sum of consecutive naturals, for example, 5707506 + ... + 5707534.

It is an arithmetic number, because the mean of its divisors is an integer number (1788500).

Almost surely, 2^165518080 is an apocalyptic number.

165518080 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 165518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257544000).

165518080 is an abundant number, since it is smaller than the sum of its proper divisors (349569920).

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

165518080 is an equidigital number, since it uses as much as digits as its factorization.

165518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 165518080 is about 12865.3830102333. The cubic root of 165518080 is about 549.0541097272.

The spelling of 165518080 in words is "one hundred sixty-five million, five hundred eighteen thousand, eighty".