165288960 has 264 divisors, whose sum is σ = 609285456. Its totient is φ = 41287680.

The previous prime is 165288919. The next prime is 165288967. The reversal of 165288960 is 69882561.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165288967) 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, 783255 + ... + 783465.

Almost surely, 2^165288960 is an apocalyptic number.

165288960 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 165288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304642728).

165288960 is an abundant number, since it is smaller than the sum of its proper divisors (443996496).

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

165288960 is a wasteful number, since it uses less digits than its factorization.

165288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 165288960 is about 12856.4754112470. The cubic root of 165288960 is about 548.8006482552.

The spelling of 165288960 in words is "one hundred sixty-five million, two hundred eighty-eight thousand, nine hundred sixty".