66042 has 16 divisors (see below), whose sum is σ = 146880. Its totient is φ = 21996.

The previous prime is 66041. The next prime is 66047. The reversal of 66042 is 24066.

66042 is a `hidden beast` number, since 660 + 4 + 2 = 666.

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

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (66041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2⁶⁶⁰⁴² is an apocalyptic number.

66042 is an abundant number, since it is smaller than the sum of its proper divisors (80838).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

66042 is a wasteful number, since it uses less digits than its factorization.

66042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1228 counting only the distinct ones).

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

The square root of 66042 is about 256.9863809621. The cubic root of 66042 is about 40.4209707158.

The spelling of 66042 in words is "sixty-six thousand, forty-two", and thus it is an eban number.