211688064 has 96 divisors (see below), whose sum is σ = 696203040. Its totient is φ = 60480000.

The previous prime is 211688039. The next prime is 211688083. The reversal of 211688064 is 460886112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5062 + ... + 21189.

It is an arithmetic number, because the mean of its divisors is an integer number (7252115).

Almost surely, 2^211688064 is an apocalyptic number.

211688064 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 211688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348101520).

211688064 is an abundant number, since it is smaller than the sum of its proper divisors (484514976).

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

211688064 is a wasteful number, since it uses less digits than its factorization.

211688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26278 (or 26263 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 211688064 is about 14549.5039090685. The cubic root of 211688064 is about 595.9806008430.

The spelling of 211688064 in words is "two hundred eleven million, six hundred eighty-eight thousand, sixty-four".