165257360 has 20 divisors (see below), whose sum is σ = 384223548. Its totient is φ = 66102912.

The previous prime is 165257359. The next prime is 165257363. The reversal of 165257360 is 63752561.

It can be written as a sum of positive squares in 2 ways, for example, as 119071744 + 46185616 = 10912^2 + 6796^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 165257360.

It is not an unprimeable number, because it can be changed into a prime (165257363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1032779 + ... + 1032938.

Almost surely, 2^165257360 is an apocalyptic number.

165257360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165257360 is an abundant number, since it is smaller than the sum of its proper divisors (218966188).

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

165257360 is a wasteful number, since it uses less digits than its factorization.

165257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065730 (or 2065724 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 165257360 is about 12855.2463998167. The cubic root of 165257360 is about 548.7656727276.

The spelling of 165257360 in words is "one hundred sixty-five million, two hundred fifty-seven thousand, three hundred sixty".