168441840 has 240 divisors, whose sum is σ = 680908800. Its totient is φ = 36453888.

The previous prime is 168441839. The next prime is 168441853. The reversal of 168441840 is 48144861.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 168441795 and 168441804.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 94881 + ... + 96639.

It is an arithmetic number, because the mean of its divisors is an integer number (2837120).

Almost surely, 2^168441840 is an apocalyptic number.

168441840 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 168441840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340454400).

168441840 is an abundant number, since it is smaller than the sum of its proper divisors (512466960).

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

168441840 is a wasteful number, since it uses less digits than its factorization.

168441840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1795 counting only the distinct ones).

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

The square root of 168441840 is about 12978.5145529063. The cubic root of 168441840 is about 552.2681431958.

The spelling of 168441840 in words is "one hundred sixty-eight million, four hundred forty-one thousand, eight hundred forty".