211284768 has 96 divisors (see below), whose sum is σ = 570011904. Its totient is φ = 68504832.

The previous prime is 211284751. The next prime is 211284779. The reversal of 211284768 is 867482112.

It is a happy number.

211284768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688071 + ... + 688377.

It is an arithmetic number, because the mean of its divisors is an integer number (5937624).

Almost surely, 2^211284768 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 211284768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285005952).

211284768 is an abundant number, since it is smaller than the sum of its proper divisors (358727136).

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

211284768 is a wasteful number, since it uses less digits than its factorization.

211284768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 211284768 is about 14535.6378601009. The cubic root of 211284768 is about 595.6018841793.

The spelling of 211284768 in words is "two hundred eleven million, two hundred eighty-four thousand, seven hundred sixty-eight".