212742608 has 60 divisors (see below), whose sum is σ = 461895660. Its totient is φ = 94768128.

The previous prime is 212742589. The next prime is 212742619. The reversal of 212742608 is 806247212.

It can be written as a sum of positive squares in 6 ways, for example, as 399424 + 212343184 = 632^2 + 14572^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 77060 + ... + 79772.

It is an arithmetic number, because the mean of its divisors is an integer number (7698261).

Almost surely, 2^212742608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212742608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230947830).

212742608 is an abundant number, since it is smaller than the sum of its proper divisors (249153052).

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

212742608 is a wasteful number, since it uses less digits than its factorization.

212742608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 212742608 is about 14585.6987491172. The cubic root of 212742608 is about 596.9686065119.

The spelling of 212742608 in words is "two hundred twelve million, seven hundred forty-two thousand, six hundred eight".