168231600 has 240 divisors, whose sum is σ = 616423840. Its totient is φ = 43545600.

The previous prime is 168231599. The next prime is 168231607. The reversal of 168231600 is 6132861.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (168231607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399390 + ... + 399810.

Almost surely, 2^168231600 is an apocalyptic number.

168231600 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 168231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308211920).

168231600 is an abundant number, since it is smaller than the sum of its proper divisors (448192240).

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

168231600 is a wasteful number, since it uses less digits than its factorization.

168231600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 168231600 is about 12970.4124838033. The cubic root of 168231600 is about 552.0382771189.

The spelling of 168231600 in words is "one hundred sixty-eight million, two hundred thirty-one thousand, six hundred".