165920 has 48 divisors (see below), whose sum is σ = 421848. Its totient is φ = 61440.

The previous prime is 165901. The next prime is 165931. The reversal of 165920 is 29561.

It can be written as a sum of positive squares in 4 ways, for example, as 110224 + 55696 = 332^2 + 236^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165920.

It is an unprimeable number.

165920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2690 + ... + 2750.

2¹⁶⁵⁹²⁰ is an apocalyptic number.

165920 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 165920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924).

165920 is an abundant number, since it is smaller than the sum of its proper divisors (255928).

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

165920 is a wasteful number, since it uses less digits than its factorization.

165920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 165920 is about 407.3327877792. The cubic root of 165920 is about 54.9498164841.

The spelling of 165920 in words is "one hundred sixty-five thousand, nine hundred twenty".