165644160 has 384 divisors, whose sum is σ = 625121280. Its totient is φ = 37171200.

The previous prime is 165644159. The next prime is 165644189. The reversal of 165644160 is 61446561.

It is a happy number.

165644160 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 tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5343345 + ... + 5343375.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^165644160 is an apocalyptic number.

165644160 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 165644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

165644160 is an abundant number, since it is smaller than the sum of its proper divisors (459477120).

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

165644160 is a wasteful number, since it uses less digits than its factorization.

165644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 165644160 is about 12870.2820481915. The cubic root of 165644160 is about 549.1934845772.

The spelling of 165644160 in words is "one hundred sixty-five million, six hundred forty-four thousand, one hundred sixty".