165088820 has 72 divisors (see below), whose sum is σ = 386394792. Its totient is φ = 58855680.

The previous prime is 165088817. The next prime is 165088829. The reversal of 165088820 is 28880561.

165088820 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 4 ways, for example, as 19838116 + 145250704 = 4454^2 + 12052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165088829) 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, 1260155 + ... + 1260285.

Almost surely, 2^165088820 is an apocalyptic number.

165088820 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 165088820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193197396).

165088820 is an abundant number, since it is smaller than the sum of its proper divisors (221305972).

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

165088820 is a wasteful number, since it uses less digits than its factorization.

165088820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 165088820 is about 12848.6894273307. The cubic root of 165088820 is about 548.5790538555.

The spelling of 165088820 in words is "one hundred sixty-five million, eighty-eight thousand, eight hundred twenty".