211071168 has 168 divisors, whose sum is σ = 754440960. Its totient is φ = 54812160.

The previous prime is 211071137. The next prime is 211071187. The reversal of 211071168 is 861170112.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41973 + ... + 46731.

It is an arithmetic number, because the mean of its divisors is an integer number (4490720).

Almost surely, 2^211071168 is an apocalyptic number.

211071168 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 211071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377220480).

211071168 is an abundant number, since it is smaller than the sum of its proper divisors (543369792).

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

211071168 is a wasteful number, since it uses less digits than its factorization.

211071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 211071168 is about 14528.2885433901. The cubic root of 211071168 is about 595.4011070333.

The spelling of 211071168 in words is "two hundred eleven million, seventy-one thousand, one hundred sixty-eight".