212207616 has 144 divisors (see below), whose sum is σ = 635625900. Its totient is φ = 68124672.

The previous prime is 212207603. The next prime is 212207627. The reversal of 212207616 is 616702212.

212207616 is a `hidden beast` number, since 21 + 2 + 20 + 7 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 210134016 + 2073600 = 14496^2 + 1440^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 212207616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534330 + ... + 534726.

Almost surely, 2^212207616 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 212207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317812950).

212207616 is an abundant number, since it is smaller than the sum of its proper divisors (423418284).

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

212207616 is a wasteful number, since it uses less digits than its factorization.

212207616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 212207616 is about 14567.3475965942. The cubic root of 212207616 is about 596.4677798401.

Adding to 212207616 its reverse (616702212), we get a palindrome (828909828).

The spelling of 212207616 in words is "two hundred twelve million, two hundred seven thousand, six hundred sixteen".