211585668 has 24 divisors (see below), whose sum is σ = 564228672. Its totient is φ = 60453024.

The previous prime is 211585667. The next prime is 211585727. The reversal of 211585668 is 866585112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (211585667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259355 + ... + 1259522.

It is an arithmetic number, because the mean of its divisors is an integer number (23509528).

Almost surely, 2^211585668 is an apocalyptic number.

211585668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

211585668 is an abundant number, since it is smaller than the sum of its proper divisors (352643004).

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

211585668 is a wasteful number, since it uses less digits than its factorization.

211585668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518891 (or 2518889 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 211585668 is about 14545.9846005693. The cubic root of 211585668 is about 595.8844910754.

The spelling of 211585668 in words is "two hundred eleven million, five hundred eighty-five thousand, six hundred sixty-eight".