211352064 has 160 divisors (see below), whose sum is σ = 702383616. Its totient is φ = 54865920.

The previous prime is 211352051. The next prime is 211352069. The reversal of 211352064 is 460253112.

211352064 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 not an unprimeable number, because it can be changed into a prime (211352069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117379 + ... + 119165.

Almost surely, 2^211352064 is an apocalyptic number.

211352064 is a gapful number since it is divisible by the number (24) 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 211352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351191808).

211352064 is an abundant number, since it is smaller than the sum of its proper divisors (491031552).

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

211352064 is a wasteful number, since it uses less digits than its factorization.

211352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 211352064 is about 14537.9525380983. The cubic root of 211352064 is about 595.6651122262.

The spelling of 211352064 in words is "two hundred eleven million, three hundred fifty-two thousand, sixty-four".