168608160 has 288 divisors, whose sum is σ = 674593920. Its totient is φ = 37545984.

The previous prime is 168608137. The next prime is 168608161. The reversal of 168608160 is 61806861.

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

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

It is not an unprimeable number, because it can be changed into a prime (168608161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433246 + ... + 433634.

It is an arithmetic number, because the mean of its divisors is an integer number (2342340).

Almost surely, 2^168608160 is an apocalyptic number.

168608160 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 168608160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337296960).

168608160 is an abundant number, since it is smaller than the sum of its proper divisors (505985760).

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

168608160 is a wasteful number, since it uses less digits than its factorization.

168608160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 168608160 is about 12984.9204849317. The cubic root of 168608160 is about 552.4498538328.

The spelling of 168608160 in words is "one hundred sixty-eight million, six hundred eight thousand, one hundred sixty".