63666000 has 240 divisors, whose sum is σ = 232360128. Its totient is φ = 16848000.

The previous prime is 63665993. The next prime is 63666019. The reversal of 63666000 is 66636.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485935 + ... + 486065.

Almost surely, 2^63666000 is an apocalyptic number.

63666000 is a gapful number since it is divisible by the number (60) 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 63666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116180064).

63666000 is an abundant number, since it is smaller than the sum of its proper divisors (168694128).

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

63666000 is a wasteful number, since it uses less digits than its factorization.

63666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 63666000 is about 7979.0976933485. The cubic root of 63666000 is about 399.3029526848.

The spelling of 63666000 in words is "sixty-three million, six hundred sixty-six thousand".