168873120 has 384 divisors, whose sum is σ = 663828480. Its totient is φ = 39813120.

The previous prime is 168873109. The next prime is 168873157. The reversal of 168873120 is 21378861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1740912 + ... + 1741008.

It is an arithmetic number, because the mean of its divisors is an integer number (1728720).

Almost surely, 2^168873120 is an apocalyptic number.

168873120 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 168873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331914240).

168873120 is an abundant number, since it is smaller than the sum of its proper divisors (494955360).

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

168873120 is a wasteful number, since it uses less digits than its factorization.

168873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 168873120 is about 12995.1190837175. The cubic root of 168873120 is about 552.7390855939.

The spelling of 168873120 in words is "one hundred sixty-eight million, eight hundred seventy-three thousand, one hundred twenty".