165405960 has 96 divisors (see below), whose sum is σ = 539922240. Its totient is φ = 43915392.

The previous prime is 165405941. The next prime is 165405967. The reversal of 165405960 is 69504561.

165405960 is a `hidden beast` number, since 1 + 6 + 540 + 59 + 60 = 666.

165405960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165405967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93807 + ... + 95553.

It is an arithmetic number, because the mean of its divisors is an integer number (5624190).

Almost surely, 2^165405960 is an apocalyptic number.

165405960 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 165405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269961120).

165405960 is an abundant number, since it is smaller than the sum of its proper divisors (374516280).

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

165405960 is a wasteful number, since it uses less digits than its factorization.

165405960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 165405960 is about 12861.0248425232. The cubic root of 165405960 is about 548.9301074591.

It can be divided in two parts, 16540 and 5960, that added together give a square (22500 = 150²).

The spelling of 165405960 in words is "one hundred sixty-five million, four hundred five thousand, nine hundred sixty".