211136640 has 256 divisors, whose sum is σ = 791683200. Its totient is φ = 47185920.

The previous prime is 211136621. The next prime is 211136641. The reversal of 211136640 is 46631112.

211136640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211136640.

It is not an unprimeable number, because it can be changed into a prime (211136641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274176 + ... + 274944.

Almost surely, 2^211136640 is an apocalyptic number.

211136640 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 211136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395841600).

211136640 is an abundant number, since it is smaller than the sum of its proper divisors (580546560).

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

211136640 is a wasteful number, since it uses less digits than its factorization.

211136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 211136640 is about 14530.5416278954. The cubic root of 211136640 is about 595.4626630032.

Adding to 211136640 its reverse (46631112), we get a palindrome (257767752).

The spelling of 211136640 in words is "two hundred eleven million, one hundred thirty-six thousand, six hundred forty".