212465568 has 216 divisors, whose sum is σ = 684645696. Its totient is φ = 57496320.

The previous prime is 212465563. The next prime is 212465569. The reversal of 212465568 is 865564212.

212465568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (115200) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (212465563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4520521 + ... + 4520567.

It is an arithmetic number, because the mean of its divisors is an integer number (3169656).

Almost surely, 2^212465568 is an apocalyptic number.

212465568 is a gapful number since it is divisible by the number (28) 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 212465568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342322848).

212465568 is an abundant number, since it is smaller than the sum of its proper divisors (472180128).

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

212465568 is a wasteful number, since it uses less digits than its factorization.

212465568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 212465568 is about 14576.1986814121. The cubic root of 212465568 is about 596.7093636241.

The spelling of 212465568 in words is "two hundred twelve million, four hundred sixty-five thousand, five hundred sixty-eight".