168478800 has 240 divisors, whose sum is σ = 637673472. Its totient is φ = 37209600.

The previous prime is 168478787. The next prime is 168478847. The reversal of 168478800 is 8874861.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260077 + ... + 260723.

Almost surely, 2^168478800 is an apocalyptic number.

168478800 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 168478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318836736).

168478800 is an abundant number, since it is smaller than the sum of its proper divisors (469194672).

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

168478800 is a wasteful number, since it uses less digits than its factorization.

168478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 168478800 is about 12979.9383665717. The cubic root of 168478800 is about 552.3085336709.

The spelling of 168478800 in words is "one hundred sixty-eight million, four hundred seventy-eight thousand, eight hundred".