168405120 has 288 divisors, whose sum is σ = 633337380. Its totient is φ = 41213952.

The previous prime is 168405067. The next prime is 168405131. The reversal of 168405120 is 21504861.

It can be written as a sum of positive squares in 6 ways, for example, as 48108096 + 120297024 = 6936^2 + 10968^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973354 + ... + 973526.

Almost surely, 2^168405120 is an apocalyptic number.

168405120 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 168405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316668690).

168405120 is an abundant number, since it is smaller than the sum of its proper divisors (464932260).

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

168405120 is a wasteful number, since it uses less digits than its factorization.

168405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 168405120 is about 12977.0998300853. The cubic root of 168405120 is about 552.2280091452.

Adding to 168405120 its reverse (21504861), we get a palindrome (189909981).

The spelling of 168405120 in words is "one hundred sixty-eight million, four hundred five thousand, one hundred twenty".