165506320 has 60 divisors (see below), whose sum is σ = 447637644. Its totient is φ = 56743680.

The previous prime is 165506293. The next prime is 165506323. The reversal of 165506320 is 23605561.

165506320 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 2 ways, for example, as 122943744 + 42562576 = 11088^2 + 6524^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (165506323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17191 + ... + 25030.

Almost surely, 2^165506320 is an apocalyptic number.

165506320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165506320 is an abundant number, since it is smaller than the sum of its proper divisors (282131324).

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

165506320 is a wasteful number, since it uses less digits than its factorization.

165506320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42248 (or 42235 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 165506320 is about 12864.9259616991. The cubic root of 165506320 is about 549.0411060536.

The spelling of 165506320 in words is "one hundred sixty-five million, five hundred six thousand, three hundred twenty".