168920 has 32 divisors (see below), whose sum is σ = 393120. Its totient is φ = 65280.

The previous prime is 168913. The next prime is 168937. The reversal of 168920 is 29861.

168920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 411²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 168920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1589 + ... + 1691.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2¹⁶⁸⁹²⁰ is an apocalyptic number.

168920 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 168920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

168920 is an abundant number, since it is smaller than the sum of its proper divisors (224200).

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

168920 is a wasteful number, since it uses less digits than its factorization.

168920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 168920 is about 410.9987834532. The cubic root of 168920 is about 55.2790228548.

It can be divided in two parts, 1 and 68920, that added together give a cube (68921 = 41³).

The spelling of 168920 in words is "one hundred sixty-eight thousand, nine hundred twenty".