212067968 has 64 divisors (see below), whose sum is σ = 508286400. Its totient is φ = 86095872.

The previous prime is 212067967. The next prime is 212067971. The reversal of 212067968 is 869760212.

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

It is not an unprimeable number, because it can be changed into a prime (212067967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10796 + ... + 23252.

It is an arithmetic number, because the mean of its divisors is an integer number (7941975).

Almost surely, 2^212067968 is an apocalyptic number.

212067968 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 212067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254143200).

212067968 is an abundant number, since it is smaller than the sum of its proper divisors (296218432).

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

212067968 is a wasteful number, since it uses less digits than its factorization.

212067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12497 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 212067968 is about 14562.5536222189. The cubic root of 212067968 is about 596.3369114446.

The spelling of 212067968 in words is "two hundred twelve million, sixty-seven thousand, nine hundred sixty-eight".