168791920 has 80 divisors (see below), whose sum is σ = 435507840. Its totient is φ = 60320000.

The previous prime is 168791873. The next prime is 168791927. The reversal of 168791920 is 29197861.

168791920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168791927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50295 + ... + 53545.

It is an arithmetic number, because the mean of its divisors is an integer number (5443848).

Almost surely, 2^168791920 is an apocalyptic number.

168791920 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 168791920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217753920).

168791920 is an abundant number, since it is smaller than the sum of its proper divisors (266715920).

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

168791920 is a wasteful number, since it uses less digits than its factorization.

168791920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 168791920 is about 12991.9944581269. The cubic root of 168791920 is about 552.6504794077.

The spelling of 168791920 in words is "one hundred sixty-eight million, seven hundred ninety-one thousand, nine hundred twenty".