212006560 has 48 divisors (see below), whose sum is σ = 527234400. Its totient is φ = 80338176.

The previous prime is 212006521. The next prime is 212006563. The reversal of 212006560 is 65600212.

It is not an unprimeable number, because it can be changed into a prime (212006563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31830 + ... + 37909.

It is an arithmetic number, because the mean of its divisors is an integer number (10984050).

Almost surely, 2^212006560 is an apocalyptic number.

212006560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212006560 is an abundant number, since it is smaller than the sum of its proper divisors (315227840).

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

212006560 is a wasteful number, since it uses less digits than its factorization.

212006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69773 (or 69765 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 212006560 is about 14560.4450481433. The cubic root of 212006560 is about 596.2793459502.

Adding to 212006560 its reverse (65600212), we get a palindrome (277606772).

The spelling of 212006560 in words is "two hundred twelve million, six thousand, five hundred sixty".