211087968 has 192 divisors, whose sum is σ = 693407232. Its totient is φ = 54743040.

The previous prime is 211087957. The next prime is 211087969. The reversal of 211087968 is 869780112.

211087968 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211087969) 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, 637563 + ... + 637893.

It is an arithmetic number, because the mean of its divisors is an integer number (3611496).

Almost surely, 2^211087968 is an apocalyptic number.

211087968 is a gapful number since it is divisible by the number (28) 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 211087968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346703616).

211087968 is an abundant number, since it is smaller than the sum of its proper divisors (482319264).

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

211087968 is a wasteful number, since it uses less digits than its factorization.

211087968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 211087968 is about 14528.8667142348. The cubic root of 211087968 is about 595.4169034009.

The spelling of 211087968 in words is "two hundred eleven million, eighty-seven thousand, nine hundred sixty-eight".