211968736 has 48 divisors (see below), whose sum is σ = 497677824. Its totient is φ = 86891904.

The previous prime is 211968709. The next prime is 211968739. The reversal of 211968736 is 637869112.

It is a junction number, because it is equal to n+sod(n) for n = 211968692 and 211968701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211968739) 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, 15420 + ... + 25723.

It is an arithmetic number, because the mean of its divisors is an integer number (10368288).

Almost surely, 2^211968736 is an apocalyptic number.

It is an amenable number.

211968736 is an abundant number, since it is smaller than the sum of its proper divisors (285709088).

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

211968736 is a wasteful number, since it uses less digits than its factorization.

211968736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41183 (or 41175 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 211968736 is about 14559.1461288085. The cubic root of 211968736 is about 596.2438831932.

The spelling of 211968736 in words is "two hundred eleven million, nine hundred sixty-eight thousand, seven hundred thirty-six".