63666144 has 144 divisors (see below), whose sum is σ = 190702512. Its totient is φ = 20127744.

The previous prime is 63666079. The next prime is 63666149. The reversal of 63666144 is 44166636.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63666099 and 63666108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63666149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656304 + ... + 656400.

It is an arithmetic number, because the mean of its divisors is an integer number (1324323).

Almost surely, 2^63666144 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 63666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95351256).

63666144 is an abundant number, since it is smaller than the sum of its proper divisors (127036368).

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

63666144 is a wasteful number, since it uses less digits than its factorization.

63666144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 63666144 is about 7979.1067169201. The cubic root of 63666144 is about 399.3032537329.

The spelling of 63666144 in words is "sixty-three million, six hundred sixty-six thousand, one hundred forty-four".