63066168 has 192 divisors, whose sum is σ = 204288000. Its totient is φ = 17962560.

The previous prime is 63066163. The next prime is 63066181. The reversal of 63066168 is 86166036.

63066168 is a `hidden beast` number, since 6 + 30 + 6 + 616 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63066163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496521 + ... + 496647.

It is an arithmetic number, because the mean of its divisors is an integer number (1064000).

Almost surely, 2^63066168 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 63066168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144000).

63066168 is an abundant number, since it is smaller than the sum of its proper divisors (141221832).

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

63066168 is a wasteful number, since it uses less digits than its factorization.

63066168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 63066168 is about 7941.4210315283. The cubic root of 63066168 is about 398.0449769462.

The spelling of 63066168 in words is "sixty-three million, sixty-six thousand, one hundred sixty-eight".