168806016 has 144 divisors (see below), whose sum is σ = 509628210. Its totient is φ = 53627904.

The previous prime is 168806009. The next prime is 168806017. The reversal of 168806016 is 610608861.

It can be written as a sum of positive squares in only one way, i.e., 161188416 + 7617600 = 12696^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (168806017) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 609270 + ... + 609546.

Almost surely, 2^168806016 is an apocalyptic number.

168806016 is a gapful number since it is divisible by the number (16) 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 168806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254814105).

168806016 is an abundant number, since it is smaller than the sum of its proper divisors (340822194).

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

168806016 is a wasteful number, since it uses less digits than its factorization.

168806016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 305 counting only the distinct ones).

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

The square root of 168806016 is about 12992.5369347176. The cubic root of 168806016 is about 552.6658631305.

The spelling of 168806016 in words is "one hundred sixty-eight million, eight hundred six thousand, sixteen".