212107680 has 192 divisors, whose sum is σ = 763015680. Its totient is φ = 54991872.

The previous prime is 212107639. The next prime is 212107703. The reversal of 212107680 is 86701212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159177 + ... + 160503.

It is an arithmetic number, because the mean of its divisors is an integer number (3974040).

Almost surely, 2^212107680 is an apocalyptic number.

212107680 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 212107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381507840).

212107680 is an abundant number, since it is smaller than the sum of its proper divisors (550908000).

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

212107680 is a wasteful number, since it uses less digits than its factorization.

212107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 212107680 is about 14563.9170555177. The cubic root of 212107680 is about 596.3741326141.

Adding to 212107680 its reverse (86701212), we get a palindrome (298808892).

The spelling of 212107680 in words is "two hundred twelve million, one hundred seven thousand, six hundred eighty".