168468300 has 648 divisors, whose sum is σ = 756389088. Its totient is φ = 30412800.

The previous prime is 168468299. The next prime is 168468319. The reversal of 168468300 is 3864861.

It is a happy number.

168468300 is a `hidden beast` number, since 168 + 468 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 9909892 + ... + 9909908.

Almost surely, 2^168468300 is an apocalyptic number.

168468300 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 168468300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378194544).

168468300 is an abundant number, since it is smaller than the sum of its proper divisors (587920788).

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

168468300 is a wasteful number, since it uses less digits than its factorization.

168468300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

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

The square root of 168468300 is about 12979.5338899361. The cubic root of 168468300 is about 552.2970597049.

The spelling of 168468300 in words is "one hundred sixty-eight million, four hundred sixty-eight thousand, three hundred".