168806400 has 288 divisors, whose sum is σ = 641833920. Its totient is φ = 38338560.

The previous prime is 168806399. The next prime is 168806401. The reversal of 168806400 is 4608861.

It is an interprime number because it is at equal distance from previous prime (168806399) and next prime (168806401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168806401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075122 + ... + 1075278.

It is an arithmetic number, because the mean of its divisors is an integer number (2228590).

Almost surely, 2^168806400 is an apocalyptic number.

168806400 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 168806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320916960).

168806400 is an abundant number, since it is smaller than the sum of its proper divisors (473027520).

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

168806400 is a wasteful number, since it uses less digits than its factorization.

168806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 168806400 is about 12992.5517124235. The cubic root of 168806400 is about 552.6662821983. Note that the first 3 decimals are identical.

The spelling of 168806400 in words is "one hundred sixty-eight million, eight hundred six thousand, four hundred".