212755664 has 40 divisors (see below), whose sum is σ = 452113920. Its totient is φ = 96185600.

The previous prime is 212755639. The next prime is 212755679. The reversal of 212755664 is 466557212.

212755664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 30452 + ... + 36780.

It is an arithmetic number, because the mean of its divisors is an integer number (11302848).

Almost surely, 2^212755664 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 212755664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226056960).

212755664 is an abundant number, since it is smaller than the sum of its proper divisors (239358256).

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

212755664 is a wasteful number, since it uses less digits than its factorization.

212755664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539 (or 6533 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 212755664 is about 14586.1463039420. The cubic root of 212755664 is about 596.9808182369.

The spelling of 212755664 in words is "two hundred twelve million, seven hundred fifty-five thousand, six hundred sixty-four".