168346800 has 180 divisors, whose sum is σ = 591268704. Its totient is φ = 44352000.

The previous prime is 168346799. The next prime is 168346807. The reversal of 168346800 is 8643861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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 (168346807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363369 + ... + 363831.

Almost surely, 2^168346800 is an apocalyptic number.

168346800 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 168346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295634352).

168346800 is an abundant number, since it is smaller than the sum of its proper divisors (422921904).

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

168346800 is a wasteful number, since it uses less digits than its factorization.

168346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 168346800 is about 12974.8526003188. The cubic root of 168346800 is about 552.1642548367.

The spelling of 168346800 in words is "one hundred sixty-eight million, three hundred forty-six thousand, eight hundred".