120584 has 8 divisors (see below), whose sum is σ = 226110. Its totient is φ = 60288.

The previous prime is 120577. The next prime is 120587. The reversal of 120584 is 485021.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 16900 = 322^2 + 130^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (120587) by changing a digit.

120584 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 as a sum of consecutive naturals, namely, 7529 + ... + 7544.

2¹²⁰⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

120584 is a deficient number, since it is larger than the sum of its proper divisors (105526).

120584 is a wasteful number, since it uses less digits than its factorization.

120584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15079 (or 15075 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 120584 is about 347.2520698282. The cubic root of 120584 is about 49.4041269151.

The spelling of 120584 in words is "one hundred twenty thousand, five hundred eighty-four".