165358080 has 120 divisors (see below), whose sum is σ = 572761332. Its totient is φ = 44089344.

The previous prime is 165358051. The next prime is 165358117. The reversal of 165358080 is 80853561.

It can be written as a sum of positive squares in 2 ways, for example, as 159365376 + 5992704 = 12624^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19452 + ... + 26628.

Almost surely, 2^165358080 is an apocalyptic number.

165358080 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 165358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286380666).

165358080 is an abundant number, since it is smaller than the sum of its proper divisors (407403252).

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

165358080 is an equidigital number, since it uses as much as digits as its factorization.

165358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165358080 is about 12859.1632698244. The cubic root of 165358080 is about 548.8771361514.

The spelling of 165358080 in words is "one hundred sixty-five million, three hundred fifty-eight thousand, eighty".