212035680 has 144 divisors (see below), whose sum is σ = 727861680. Its totient is φ = 56208384.

The previous prime is 212035651. The next prime is 212035693. The reversal of 212035680 is 86530212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 329439 + ... + 330081.

It is an arithmetic number, because the mean of its divisors is an integer number (5054595).

Almost surely, 2^212035680 is an apocalyptic number.

212035680 is a gapful number since it is divisible by the number (20) 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 212035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363930840).

212035680 is an abundant number, since it is smaller than the sum of its proper divisors (515826000).

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

212035680 is a wasteful number, since it uses less digits than its factorization.

212035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 212035680 is about 14561.4449832426. Note that the first 3 decimals coincide. The cubic root of 212035680 is about 596.3066451992.

Adding to 212035680 its reverse (86530212), we get a palindrome (298565892).

The spelling of 212035680 in words is "two hundred twelve million, thirty-five thousand, six hundred eighty".