212885568 has 168 divisors, whose sum is σ = 716718912. Its totient is φ = 59139072.

The previous prime is 212885551. The next prime is 212885573. The reversal of 212885568 is 865588212.

212885568 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 85 + 568 = 666.

212885568 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 (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148471 + ... + 149897.

It is an arithmetic number, because the mean of its divisors is an integer number (4266184).

Almost surely, 2^212885568 is an apocalyptic number.

212885568 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 212885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358359456).

212885568 is an abundant number, since it is smaller than the sum of its proper divisors (503833344).

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

212885568 is a wasteful number, since it uses less digits than its factorization.

212885568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1476 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 212885568 is about 14590.5986169177. The cubic root of 212885568 is about 597.1022947022.

The spelling of 212885568 in words is "two hundred twelve million, eight hundred eighty-five thousand, five hundred sixty-eight".