168804000 has 240 divisors, whose sum is σ = 620756136. Its totient is φ = 44928000.

The previous prime is 168803977. The next prime is 168804001. The reversal of 168804000 is 408861.

168804000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33593616 + 135210384 = 5796^2 + 11628^2 .

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 (27).

It is not an unprimeable number, because it can be changed into a prime (168804001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323740 + ... + 324260.

Almost surely, 2^168804000 is an apocalyptic number.

168804000 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 168804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310378068).

168804000 is an abundant number, since it is smaller than the sum of its proper divisors (451952136).

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

168804000 is an equidigital number, since it uses as much as digits as its factorization.

168804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 531 counting only the distinct ones).

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

The square root of 168804000 is about 12992.4593514854. The cubic root of 168804000 is about 552.6636630137.

The spelling of 168804000 in words is "one hundred sixty-eight million, eight hundred four thousand".