211888 has 40 divisors (see below), whose sum is σ = 468720. Its totient is φ = 92160.

The previous prime is 211879. The next prime is 211889. The reversal of 211888 is 888112.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5148 + ... + 5188.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2²¹¹⁸⁸⁸ 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 211888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360).

211888 is an abundant number, since it is smaller than the sum of its proper divisors (256832).

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

211888 is a wasteful number, since it uses less digits than its factorization.

211888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its digits is 1024, while the sum is 28.

The square root of 211888 is about 460.3129370331. The cubic root of 211888 is about 59.6168173193.

The spelling of 211888 in words is "two hundred eleven thousand, eight hundred eighty-eight".