212506560 has 336 divisors, whose sum is σ = 852074496. Its totient is φ = 47609856.

The previous prime is 212506543. The next prime is 212506561. The reversal of 212506560 is 65605212.

212506560 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212506561) 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 47 ways as a sum of consecutive naturals, for example, 1673217 + ... + 1673343.

It is an arithmetic number, because the mean of its divisors is an integer number (2535936).

Almost surely, 2^212506560 is an apocalyptic number.

212506560 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 212506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426037248).

212506560 is an abundant number, since it is smaller than the sum of its proper divisors (639567936).

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

212506560 is a wasteful number, since it uses less digits than its factorization.

212506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 212506560 is about 14577.6047415205. The cubic root of 212506560 is about 596.7477364885.

The spelling of 212506560 in words is "two hundred twelve million, five hundred six thousand, five hundred sixty".