168606144 has 224 divisors, whose sum is σ = 579363840. Its totient is φ = 47084544.

The previous prime is 168606143. The next prime is 168606149. The reversal of 168606144 is 441606861.

168606144 is a `hidden beast` number, since 1 + 6 + 8 + 606 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 168606099 and 168606108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168606143) 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 31 ways as a sum of consecutive naturals, for example, 640957 + ... + 641219.

Almost surely, 2^168606144 is an apocalyptic number.

168606144 is a gapful number since it is divisible by the number (14) 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 168606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289681920).

168606144 is an abundant number, since it is smaller than the sum of its proper divisors (410757696).

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

168606144 is a wasteful number, since it uses less digits than its factorization.

168606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 168606144 is about 12984.8428561920. The cubic root of 168606144 is about 552.4476519952.

The spelling of 168606144 in words is "one hundred sixty-eight million, six hundred six thousand, one hundred forty-four".