165752960 has 128 divisors (see below), whose sum is σ = 428155200. Its totient is φ = 61157376.

The previous prime is 165752947. The next prime is 165752963. The reversal of 165752960 is 69257561.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (165752963) 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, 522722 + ... + 523038.

Almost surely, 2^165752960 is an apocalyptic number.

165752960 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 165752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214077600).

165752960 is an abundant number, since it is smaller than the sum of its proper divisors (262402240).

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

165752960 is a wasteful number, since it uses less digits than its factorization.

165752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 165752960 is about 12874.5081459448. The cubic root of 165752960 is about 549.3137004535.

The spelling of 165752960 in words is "one hundred sixty-five million, seven hundred fifty-two thousand, nine hundred sixty".