168789920 has 96 divisors (see below), whose sum is σ = 452148480. Its totient is φ = 59028480.

The previous prime is 168789917. The next prime is 168789931. The reversal of 168789920 is 29987861.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37385 + ... + 41655.

It is an arithmetic number, because the mean of its divisors is an integer number (4709880).

Almost surely, 2^168789920 is an apocalyptic number.

168789920 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 168789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226074240).

168789920 is an abundant number, since it is smaller than the sum of its proper divisors (283358560).

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

168789920 is a wasteful number, since it uses less digits than its factorization.

168789920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The square root of 168789920 is about 12991.9174874227. The cubic root of 168789920 is about 552.6482966308.

The spelling of 168789920 in words is "one hundred sixty-eight million, seven hundred eighty-nine thousand, nine hundred twenty".