168005448 has 256 divisors, whose sum is σ = 548352000. Its totient is φ = 47215872.

The previous prime is 168005447. The next prime is 168005449. The reversal of 168005448 is 844500861.

It is an interprime number because it is at equal distance from previous prime (168005447) and next prime (168005449).

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 (168005447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2507511 + ... + 2507577.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 2^168005448 is an apocalyptic number.

168005448 is a gapful number since it is divisible by the number (18) 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 168005448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176000).

168005448 is an abundant number, since it is smaller than the sum of its proper divisors (380346552).

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

168005448 is a wasteful number, since it uses less digits than its factorization.

168005448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 168005448 is about 12961.6915562746. The cubic root of 168005448 is about 551.7907997431.

The spelling of 168005448 in words is "one hundred sixty-eight million, five thousand, four hundred forty-eight".