663417216 has 384 divisors, whose sum is σ = 2477180160. Its totient is φ = 171694080.

The previous prime is 663417203. The next prime is 663417217. The reversal of 663417216 is 612714366.

It is a happy number.

663417216 is a `hidden beast` number, since 6 + 634 + 1 + 7 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (36288) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663417217) by changing a digit.

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, 2394870 + ... + 2395146.

It is an arithmetic number, because the mean of its divisors is an integer number (6450990).

Almost surely, 2^663417216 is an apocalyptic number.

663417216 is a gapful number since it is divisible by the number (66) 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 663417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238590080).

663417216 is an abundant number, since it is smaller than the sum of its proper divisors (1813762944).

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

663417216 is a wasteful number, since it uses less digits than its factorization.

663417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 300 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 663417216 is about 25756.8867683965. The cubic root of 663417216 is about 872.1588241411.

The spelling of 663417216 in words is "six hundred sixty-three million, four hundred seventeen thousand, two hundred sixteen".