212208864 has 96 divisors (see below), whose sum is σ = 638942976. Its totient is φ = 60410880.

The previous prime is 212208859. The next prime is 212208877. The reversal of 212208864 is 468802212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 306759 + ... + 307449.

It is an arithmetic number, because the mean of its divisors is an integer number (6655656).

Almost surely, 2^212208864 is an apocalyptic number.

212208864 is a gapful number since it is divisible by the number (24) 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 212208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319471488).

212208864 is an abundant number, since it is smaller than the sum of its proper divisors (426734112).

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

212208864 is a wasteful number, since it uses less digits than its factorization.

212208864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 212208864 is about 14567.3904320575. The cubic root of 212208864 is about 596.4689491201.

The spelling of 212208864 in words is "two hundred twelve million, two hundred eight thousand, eight hundred sixty-four".