168968160 has 96 divisors (see below), whose sum is σ = 591403680. Its totient is φ = 45057024.

The previous prime is 168968147. The next prime is 168968161. The reversal of 168968160 is 61869861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168968161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15237 + ... + 23876.

It is an arithmetic number, because the mean of its divisors is an integer number (6160455).

Almost surely, 2^168968160 is an apocalyptic number.

168968160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168968160 is an abundant number, since it is smaller than the sum of its proper divisors (422435520).

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

168968160 is a wasteful number, since it uses less digits than its factorization.

168968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39137 (or 39123 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 168968160 is about 12998.7753269298. The cubic root of 168968160 is about 552.8427580451.

The spelling of 168968160 in words is "one hundred sixty-eight million, nine hundred sixty-eight thousand, one hundred sixty".