165185760 has 192 divisors, whose sum is σ = 546061824. Its totient is φ = 41932800.

The previous prime is 165185759. The next prime is 165185767. The reversal of 165185760 is 67581561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165185767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1260895 + ... + 1261025.

It is an arithmetic number, because the mean of its divisors is an integer number (2844072).

Almost surely, 2^165185760 is an apocalyptic number.

165185760 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 165185760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273030912).

165185760 is an abundant number, since it is smaller than the sum of its proper divisors (380876064).

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

165185760 is a wasteful number, since it uses less digits than its factorization.

165185760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 165185760 is about 12852.4612428904. The cubic root of 165185760 is about 548.6864078806.

The spelling of 165185760 in words is "one hundred sixty-five million, one hundred eighty-five thousand, seven hundred sixty".