168840 has 96 divisors (see below), whose sum is σ = 636480. Its totient is φ = 38016.

The previous prime is 168803. The next prime is 168851. The reversal of 168840 is 48861.

It is an unprimeable number.

168840 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 23 ways as a sum of consecutive naturals, for example, 2487 + ... + 2553.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

2¹⁶⁸⁸⁴⁰ is an apocalyptic number.

168840 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 168840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318240).

168840 is an abundant number, since it is smaller than the sum of its proper divisors (467640).

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

168840 is a wasteful number, since it uses less digits than its factorization.

168840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168840 is about 410.9014480383. The cubic root of 168840 is about 55.2702948176.

It can be divided in two parts, 1688 and 40, that added together give a cube (1728 = 12³).

The spelling of 168840 in words is "one hundred sixty-eight thousand, eight hundred forty".