168804144 has 60 divisors (see below), whose sum is σ = 474572800. Its totient is φ = 56011392.

The previous prime is 168804143. The next prime is 168804149. The reversal of 168804144 is 441408861.

168804144 is a `hidden beast` number, since 168 + 80 + 414 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 168804099 and 168804108.

It is not an unprimeable number, because it can be changed into a prime (168804143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30417 + ... + 35535.

Almost surely, 2^168804144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168804144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237286400).

168804144 is an abundant number, since it is smaller than the sum of its proper divisors (305768656).

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

168804144 is a wasteful number, since it uses less digits than its factorization.

168804144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 168804144 is about 12992.4648931602. The cubic root of 168804144 is about 552.6638201655.

The spelling of 168804144 in words is "one hundred sixty-eight million, eight hundred four thousand, one hundred forty-four".