211712064 has 112 divisors (see below), whose sum is σ = 592531200. Its totient is φ = 66605056.

The previous prime is 211712063. The next prime is 211712087. The reversal of 211712064 is 460217112.

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 (211712063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261292 + ... + 262100.

Almost surely, 2^211712064 is an apocalyptic number.

211712064 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 211712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296265600).

211712064 is an abundant number, since it is smaller than the sum of its proper divisors (380819136).

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

211712064 is a wasteful number, since it uses less digits than its factorization.

211712064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 211712064 is about 14550.3286560820. The cubic root of 211712064 is about 596.0031229661.

Adding to 211712064 its reverse (460217112), we get a palindrome (671929176).

The spelling of 211712064 in words is "two hundred eleven million, seven hundred twelve thousand, sixty-four".