120564 has 36 divisors (see below), whose sum is σ = 324324. Its totient is φ = 37632.

The previous prime is 120563. The next prime is 120569. The reversal of 120564 is 465021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 11664 = 330^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120563) 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 11 ways as a sum of consecutive naturals, for example, 514 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

2¹²⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162162).

120564 is an abundant number, since it is smaller than the sum of its proper divisors (203760).

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

120564 is a wasteful number, since it uses less digits than its factorization.

120564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120564 is about 347.2232711095. The cubic root of 120564 is about 49.4013953831.

Adding to 120564 its reverse (465021), we get a palindrome (585585).

The spelling of 120564 in words is "one hundred twenty thousand, five hundred sixty-four".