168361120 has 48 divisors (see below), whose sum is σ = 399718368. Its totient is φ = 67011840.

The previous prime is 168361051. The next prime is 168361139. The reversal of 168361120 is 21163861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31267 + ... + 36253.

It is an arithmetic number, because the mean of its divisors is an integer number (8327466).

Almost surely, 2^168361120 is an apocalyptic number.

168361120 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 168361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199859184).

168361120 is an abundant number, since it is smaller than the sum of its proper divisors (231357248).

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

168361120 is a wasteful number, since it uses less digits than its factorization.

168361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 168361120 is about 12975.4044252963. The cubic root of 168361120 is about 552.1799105504.

It can be divided in two parts, 16836 and 1120, that added together give a square (17956 = 134²).

The spelling of 168361120 in words is "one hundred sixty-eight million, three hundred sixty-one thousand, one hundred twenty".