168042 has 16 divisors (see below), whose sum is σ = 384192. Its totient is φ = 48000.

The previous prime is 168037. The next prime is 168043. The reversal of 168042 is 240861.

It is a super-2 number, since 2×168042² = 56476227528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (168043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1959 + ... + 2042.

It is an arithmetic number, because the mean of its divisors is an integer number (24012).

2¹⁶⁸⁰⁴² is an apocalyptic number.

168042 is an abundant number, since it is smaller than the sum of its proper divisors (216150).

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

168042 is a wasteful number, since it uses less digits than its factorization.

168042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 168042 is about 409.9292621904. The cubic root of 168042 is about 55.1830813515.

The spelling of 168042 in words is "one hundred sixty-eight thousand, forty-two".