211981968 has 160 divisors (see below), whose sum is σ = 685670400. Its totient is φ = 62121600.

The previous prime is 211981963. The next prime is 211981981. The reversal of 211981968 is 869189112.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211981963) 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 31 ways as a sum of consecutive naturals, for example, 146593 + ... + 148031.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2^211981968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211981968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342835200).

211981968 is an abundant number, since it is smaller than the sum of its proper divisors (473688432).

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

211981968 is a wasteful number, since it uses less digits than its factorization.

211981968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1486 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 211981968 is about 14559.6005439710. The cubic root of 211981968 is about 596.2562896374.

The spelling of 211981968 in words is "two hundred eleven million, nine hundred eighty-one thousand, nine hundred sixty-eight".