168800016 has 160 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 43338240.

The previous prime is 168799999. The next prime is 168800081. The reversal of 168800016 is 610008861.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 402655 + ... + 403073.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^168800016 is an apocalyptic number.

168800016 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 168800016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

168800016 is an abundant number, since it is smaller than the sum of its proper divisors (381164784).

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

168800016 is a wasteful number, since it uses less digits than its factorization.

168800016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 168800016 is about 12992.3060308784. The cubic root of 168800016 is about 552.6593151125.

Adding to 168800016 its reverse (610008861), we get a palindrome (778808877).

The spelling of 168800016 in words is "one hundred sixty-eight million, eight hundred thousand, sixteen".