660042 has 32 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 206784.

The previous prime is 660029. The next prime is 660047. The reversal of 660042 is 240066.

660042 is a `hidden beast` number, since 660 + 0 + 4 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 659997 and 660024.

It is not an unprimeable number, because it can be changed into a prime (660047) by changing a digit.

660042 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁶⁶⁰⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

660042 is an abundant number, since it is smaller than the sum of its proper divisors (895158).

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

660042 is a wasteful number, since it uses less digits than its factorization.

660042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 660042 is about 812.4296892655. The cubic root of 660042 is about 87.0677237245.

The spelling of 660042 in words is "six hundred sixty thousand, forty-two".