217630368 has 48 divisors (see below), whose sum is σ = 634757760. Its totient is φ = 72543168.

The previous prime is 217630339. The next prime is 217630373. The reversal of 217630368 is 863036712.

It is a happy number.

217630368 is a `hidden beast` number, since 2 + 17 + 630 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 125080 + ... + 126807.

It is an arithmetic number, because the mean of its divisors is an integer number (13224120).

Almost surely, 2^217630368 is an apocalyptic number.

It is an amenable number.

217630368 is an abundant number, since it is smaller than the sum of its proper divisors (417127392).

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

217630368 is a wasteful number, since it uses less digits than its factorization.

217630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251906 (or 251892 counting only the distinct ones).

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

The square root of 217630368 is about 14752.3004307803. The cubic root of 217630368 is about 601.5058176936.

The spelling of 217630368 in words is "two hundred seventeen million, six hundred thirty thousand, three hundred sixty-eight".