211288064 has 80 divisors (see below), whose sum is σ = 469761600. Its totient is φ = 94371840.

The previous prime is 211288057. The next prime is 211288067. The reversal of 211288064 is 460882112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 211288064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211288067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6815729 + ... + 6815759.

It is an arithmetic number, because the mean of its divisors is an integer number (5872020).

Almost surely, 2^211288064 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 211288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234880800).

211288064 is an abundant number, since it is smaller than the sum of its proper divisors (258473536).

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

211288064 is an frugal number, since it uses more digits than its factorization.

211288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 211288064 is about 14535.7512361763. The cubic root of 211288064 is about 595.6049812532.

It can be divided in two parts, 21128 and 8064, that added together give a palindrome (29192).

The spelling of 211288064 in words is "two hundred eleven million, two hundred eighty-eight thousand, sixty-four".