420168 has 64 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 115200.

The previous prime is 420163. The next prime is 420191. The reversal of 420168 is 861024.

It is a super-2 number, since 2×420168² = 353082296448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (420163) by changing a digit.

420168 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 in 15 ways as a sum of consecutive naturals, for example, 6858 + ... + 6918.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2⁴²⁰¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

420168 is an abundant number, since it is smaller than the sum of its proper divisors (829752).

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

420168 is a wasteful number, since it uses less digits than its factorization.

420168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

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

The square root of 420168 is about 648.2036716959. The cubic root of 420168 is about 74.8987077043.

It can be divided in two parts, 42016 and 8, that added together give a palindrome (42024).

The spelling of 420168 in words is "four hundred twenty thousand, one hundred sixty-eight".