60084 has 18 divisors (see below), whose sum is σ = 151970. Its totient is φ = 20016.

The previous prime is 60083. The next prime is 60089. The reversal of 60084 is 48006.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 8100 = 228^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×60084² = 7220174112, which contains 22 as substring.

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 (60083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 799 + ... + 870.

2⁶⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

60084 is an abundant number, since it is smaller than the sum of its proper divisors (91886).

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

60084 is a wasteful number, since it uses less digits than its factorization.

60084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 60084 is about 245.1203785898. The cubic root of 60084 is about 39.1669372749.

The spelling of 60084 in words is "sixty thousand, eighty-four".