212257968 has 80 divisors (see below), whose sum is σ = 621626880. Its totient is φ = 61869312.

The previous prime is 212257963. The next prime is 212257973. The reversal of 212257968 is 869752212.

It is an interprime number because it is at equal distance from previous prime (212257963) and next prime (212257973).

It is not an unprimeable number, because it can be changed into a prime (212257963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2905 + ... + 20807.

It is an arithmetic number, because the mean of its divisors is an integer number (7770336).

Almost surely, 2^212257968 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 212257968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310813440).

212257968 is an abundant number, since it is smaller than the sum of its proper divisors (409368912).

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

212257968 is a wasteful number, since it uses less digits than its factorization.

212257968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946 (or 17940 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 212257968 is about 14569.0757428191. The cubic root of 212257968 is about 596.5149521505.

The spelling of 212257968 in words is "two hundred twelve million, two hundred fifty-seven thousand, nine hundred sixty-eight".