212023680 has 128 divisors (see below), whose sum is σ = 737337600. Its totient is φ = 51394560.

The previous prime is 212023673. The next prime is 212023681. The reversal of 212023680 is 86320212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212023680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212023681) by changing a digit.

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, 16101 + ... + 26139.

It is an arithmetic number, because the mean of its divisors is an integer number (5760450).

Almost surely, 2^212023680 is an apocalyptic number.

212023680 is a gapful number since it is divisible by the number (20) 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 212023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368668800).

212023680 is an abundant number, since it is smaller than the sum of its proper divisors (525313920).

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

212023680 is a wasteful number, since it uses less digits than its factorization.

212023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 212023680 is about 14561.0329303934. The cubic root of 212023680 is about 596.2953958115.

Adding to 212023680 its reverse (86320212), we get a palindrome (298343892).

The spelling of 212023680 in words is "two hundred twelve million, twenty-three thousand, six hundred eighty".