212676768 has 144 divisors (see below), whose sum is σ = 639527616. Its totient is φ = 66908160.

The previous prime is 212676743. The next prime is 212676773. The reversal of 212676768 is 867676212.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642363 + ... + 642693.

It is an arithmetic number, because the mean of its divisors is an integer number (4441164).

Almost surely, 2^212676768 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 212676768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319763808).

212676768 is an abundant number, since it is smaller than the sum of its proper divisors (426850848).

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

212676768 is a wasteful number, since it uses less digits than its factorization.

212676768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 212676768 is about 14583.4415691222. The cubic root of 212676768 is about 596.9070164857.

It can be divided in two parts, 212676 and 768, that added together give a square (213444 = 462²).

The spelling of 212676768 in words is "two hundred twelve million, six hundred seventy-six thousand, seven hundred sixty-eight".