165190560 has 192 divisors, whose sum is σ = 558835200. Its totient is φ = 40891392.

The previous prime is 165190549. The next prime is 165190573. The reversal of 165190560 is 65091561.

It is a super-2 number, since 2×165190560² = 54575842226227200, which contains 22 as substring.

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, 537927 + ... + 538233.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^165190560 is an apocalyptic number.

165190560 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 165190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

165190560 is an abundant number, since it is smaller than the sum of its proper divisors (393644640).

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

165190560 is a wasteful number, since it uses less digits than its factorization.

165190560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 165190560 is about 12852.6479761954. The cubic root of 165190560 is about 548.6917224413.

The spelling of 165190560 in words is "one hundred sixty-five million, one hundred ninety thousand, five hundred sixty".