168420 has 48 divisors (see below), whose sum is σ = 540288. Its totient is φ = 38400.

The previous prime is 168409. The next prime is 168433. The reversal of 168420 is 24861.

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

It is an unprimeable number.

168420 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, 220 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (11256).

2¹⁶⁸⁴²⁰ is an apocalyptic number.

168420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270144).

168420 is an abundant number, since it is smaller than the sum of its proper divisors (371868).

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

168420 is a wasteful number, since it uses less digits than its factorization.

168420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

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

The square root of 168420 is about 410.3900583591. The cubic root of 168420 is about 55.2244273320.

The spelling of 168420 in words is "one hundred sixty-eight thousand, four hundred twenty".