168981120 has 512 divisors, whose sum is σ = 752025600. Its totient is φ = 34836480.

The previous prime is 168981103. The next prime is 168981151. The reversal of 168981120 is 21189861.

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

It is a congruent number.

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, 1330497 + ... + 1330623.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 2^168981120 is an apocalyptic number.

168981120 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 168981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376012800).

168981120 is an abundant number, since it is smaller than the sum of its proper divisors (583044480).

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

168981120 is a wasteful number, since it uses less digits than its factorization.

168981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 168981120 is about 12999.2738258720. The cubic root of 168981120 is about 552.8568921853.

The spelling of 168981120 in words is "one hundred sixty-eight million, nine hundred eighty-one thousand, one hundred twenty".