212585856 has 64 divisors (see below), whose sum is σ = 645358080. Its totient is φ = 60738048.

The previous prime is 212585839. The next prime is 212585903. The reversal of 212585856 is 658585212.

212585856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between even and odd.

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 7 ways as a sum of consecutive naturals, for example, 36856 + ... + 42231.

It is an arithmetic number, because the mean of its divisors is an integer number (10083720).

Almost surely, 2^212585856 is an apocalyptic number.

It is an amenable number.

212585856 is an abundant number, since it is smaller than the sum of its proper divisors (432772224).

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

212585856 is an equidigital number, since it uses as much as digits as its factorization.

212585856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79111 (or 79099 counting only the distinct ones).

The product of its digits is 192000, while the sum is 42.

The square root of 212585856 is about 14580.3242762292. The cubic root of 212585856 is about 596.8219519606.

The spelling of 212585856 in words is "two hundred twelve million, five hundred eighty-five thousand, eight hundred fifty-six".