165648960 has 168 divisors, whose sum is σ = 575934840. Its totient is φ = 43696128.

The previous prime is 165648953. The next prime is 165648971. The reversal of 165648960 is 69846561.

165648960 is a `hidden beast` number, since 1 + 6 + 564 + 89 + 6 + 0 = 666.

165648960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 161188416 = 2112^2 + 12696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325186 + ... + 325694.

Almost surely, 2^165648960 is an apocalyptic number.

165648960 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 165648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287967420).

165648960 is an abundant number, since it is smaller than the sum of its proper divisors (410285880).

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

165648960 is a wasteful number, since it uses less digits than its factorization.

165648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 165648960 is about 12870.4685229404. The cubic root of 165648960 is about 549.1987893286.

The spelling of 165648960 in words is "one hundred sixty-five million, six hundred forty-eight thousand, nine hundred sixty".