165775920 has 80 divisors (see below), whose sum is σ = 518701920. Its totient is φ = 43794432.

The previous prime is 165775867. The next prime is 165775921. The reversal of 165775920 is 29577561.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (165775921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22992 + ... + 29328.

It is an arithmetic number, because the mean of its divisors is an integer number (6483774).

Almost surely, 2^165775920 is an apocalyptic number.

165775920 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 165775920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259350960).

165775920 is an abundant number, since it is smaller than the sum of its proper divisors (352926000).

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

165775920 is a wasteful number, since it uses less digits than its factorization.

165775920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 165775920 is about 12875.3997996179. The cubic root of 165775920 is about 549.3390628166.

It can be divided in two parts, 1657 and 75920, that added together give a palindrome (77577).

The spelling of 165775920 in words is "one hundred sixty-five million, seven hundred seventy-five thousand, nine hundred twenty".