168008400 has 360 divisors, whose sum is σ = 683616960. Its totient is φ = 37416960.

The previous prime is 168008383. The next prime is 168008413. The reversal of 168008400 is 4800861.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1486744 + ... + 1486856.

It is an arithmetic number, because the mean of its divisors is an integer number (1898936).

Almost surely, 2^168008400 is an apocalyptic number.

168008400 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 168008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341808480).

168008400 is an abundant number, since it is smaller than the sum of its proper divisors (515608560).

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

168008400 is a wasteful number, since it uses less digits than its factorization.

168008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168008400 is about 12961.8054298003. The cubic root of 168008400 is about 551.7940315369.

It can be divided in two parts, 16800 and 8400, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 168008400 in words is "one hundred sixty-eight million, eight thousand, four hundred".