165663360 has 128 divisors (see below), whose sum is σ = 586785600. Its totient is φ = 44172288.

The previous prime is 165663359. The next prime is 165663367. The reversal of 165663360 is 63366561.

It is a happy number.

165663360 is a `hidden beast` number, since 1 + 6 + 566 + 33 + 60 = 666.

165663360 is digitally balanced in base 2, because in such base 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 (128).

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 (165663367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12487 + ... + 22073.

Almost surely, 2^165663360 is an apocalyptic number.

165663360 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 165663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293392800).

165663360 is an abundant number, since it is smaller than the sum of its proper divisors (421122240).

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

165663360 is an equidigital number, since it uses as much as digits as its factorization.

165663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9615 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 165663360 is about 12871.0279309774. The cubic root of 165663360 is about 549.2147029680.

The spelling of 165663360 in words is "one hundred sixty-five million, six hundred sixty-three thousand, three hundred sixty".