217966960 has 20 divisors (see below), whose sum is σ = 506773368. Its totient is φ = 87186752.

The previous prime is 217966951. The next prime is 217966997. The reversal of 217966960 is 69669712.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 217966960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1362214 + ... + 1362373.

Almost surely, 2^217966960 is an apocalyptic number.

217966960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217966960 is an abundant number, since it is smaller than the sum of its proper divisors (288806408).

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

217966960 is a wasteful number, since it uses less digits than its factorization.

217966960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724600 (or 2724594 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 217966960 is about 14763.7041422537. The cubic root of 217966960 is about 601.8157587498.

The spelling of 217966960 in words is "two hundred seventeen million, nine hundred sixty-six thousand, nine hundred sixty".