211412064 has 48 divisors (see below), whose sum is σ = 572866560. Its totient is φ = 68196480.

The previous prime is 211412041. The next prime is 211412081. The reversal of 211412064 is 460214112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 211412064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32544 + ... + 38495.

It is an arithmetic number, because the mean of its divisors is an integer number (11934720).

Almost surely, 2^211412064 is an apocalyptic number.

211412064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211412064 is an abundant number, since it is smaller than the sum of its proper divisors (361454496).

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

211412064 is a wasteful number, since it uses less digits than its factorization.

211412064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71083 (or 71075 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 211412064 is about 14540.0159559747. The cubic root of 211412064 is about 595.7214739899.

Adding to 211412064 its reverse (460214112), we get a palindrome (671626176).

The spelling of 211412064 in words is "two hundred eleven million, four hundred twelve thousand, sixty-four".