212784768 has 96 divisors (see below), whose sum is σ = 699809760. Its totient is φ = 60793344.

The previous prime is 212784757. The next prime is 212784787. The reversal of 212784768 is 867487212.

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 5130 + ... + 21257.

It is an arithmetic number, because the mean of its divisors is an integer number (7289685).

Almost surely, 2^212784768 is an apocalyptic number.

212784768 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 212784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349904880).

212784768 is an abundant number, since it is smaller than the sum of its proper divisors (487024992).

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

212784768 is a wasteful number, since it uses less digits than its factorization.

212784768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26414 (or 26399 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 212784768 is about 14587.1439288162. The cubic root of 212784768 is about 597.0080384093.

The spelling of 212784768 in words is "two hundred twelve million, seven hundred eighty-four thousand, seven hundred sixty-eight".