217380968 has 16 divisors (see below), whose sum is σ = 465816480. Its totient is φ = 93163248.

The previous prime is 217380967. The next prime is 217380979. The reversal of 217380968 is 869083712.

217380968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (217380967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1940846 + ... + 1940957.

It is an arithmetic number, because the mean of its divisors is an integer number (29113530).

Almost surely, 2^217380968 is an apocalyptic number.

217380968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

217380968 is an abundant number, since it is smaller than the sum of its proper divisors (248435512).

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

217380968 is a wasteful number, since it uses less digits than its factorization.

217380968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881816 (or 3881812 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 217380968 is about 14743.8450887141. The cubic root of 217380968 is about 601.2759586996.

The spelling of 217380968 in words is "two hundred seventeen million, three hundred eighty thousand, nine hundred sixty-eight".