165508560 has 120 divisors (see below), whose sum is σ = 635256960. Its totient is φ = 37829376.

The previous prime is 165508547. The next prime is 165508561. The reversal of 165508560 is 65805561.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165508561) 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, 11380 + ... + 21459.

It is an arithmetic number, because the mean of its divisors is an integer number (5293808).

Almost surely, 2^165508560 is an apocalyptic number.

165508560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165508560 is an abundant number, since it is smaller than the sum of its proper divisors (469748400).

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

165508560 is a wasteful number, since it uses less digits than its factorization.

165508560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32865 (or 32856 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 165508560 is about 12865.0130198146. The cubic root of 165508560 is about 549.0435829913.

The spelling of 165508560 in words is "one hundred sixty-five million, five hundred eight thousand, five hundred sixty".