212516560 has 20 divisors (see below), whose sum is σ = 494101188. Its totient is φ = 85006592.

The previous prime is 212516533. The next prime is 212516569. The reversal of 212516560 is 65615212.

It can be written as a sum of positive squares in 2 ways, for example, as 121352256 + 91164304 = 11016^2 + 9548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212516569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1328149 + ... + 1328308.

Almost surely, 2^212516560 is an apocalyptic number.

212516560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212516560 is an abundant number, since it is smaller than the sum of its proper divisors (281584628).

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

212516560 is a wasteful number, since it uses less digits than its factorization.

212516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656470 (or 2656464 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 212516560 is about 14577.9477293616. The cubic root of 212516560 is about 596.7570968015.

The spelling of 212516560 in words is "two hundred twelve million, five hundred sixteen thousand, five hundred sixty".