211968000 has 336 divisors, whose sum is σ = 797393376. Its totient is φ = 54067200.

The previous prime is 211967947. The next prime is 211968011. The reversal of 211968000 is 869112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215989 + ... + 9216011.

Almost surely, 2^211968000 is an apocalyptic number.

211968000 is a gapful number since it is divisible by the number (20) 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 211968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398696688).

211968000 is an abundant number, since it is smaller than the sum of its proper divisors (585425376).

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

211968000 is an equidigital number, since it uses as much as digits as its factorization.

211968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 211968000 is about 14559.1208525790. The cubic root of 211968000 is about 596.2431930977.

The spelling of 211968000 in words is "two hundred eleven million, nine hundred sixty-eight thousand".