165593920 has 28 divisors (see below), whose sum is σ = 394321284. Its totient is φ = 66237440.

The previous prime is 165593899. The next prime is 165593921. The reversal of 165593920 is 29395561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 76177984 = 9456^2 + 8728^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165593921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258421 + ... + 259060.

It is an arithmetic number, because the mean of its divisors is an integer number (14082903).

Almost surely, 2^165593920 is an apocalyptic number.

165593920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165593920 is an abundant number, since it is smaller than the sum of its proper divisors (228727364).

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

165593920 is an equidigital number, since it uses as much as digits as its factorization.

165593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517498 (or 517488 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 165593920 is about 12868.3301169965. The cubic root of 165593920 is about 549.1379553620.

The spelling of 165593920 in words is "one hundred sixty-five million, five hundred ninety-three thousand, nine hundred twenty".