213824780 has 48 divisors (see below), whose sum is σ = 484704864. Its totient is φ = 78766080.

The previous prime is 213824753. The next prime is 213824789. The reversal of 213824780 is 87428312.

213824780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213824780.

It is not an unprimeable number, because it can be changed into a prime (213824789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166019 + ... + 167301.

It is an arithmetic number, because the mean of its divisors is an integer number (10098018).

Almost surely, 2^213824780 is an apocalyptic number.

213824780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213824780 is an abundant number, since it is smaller than the sum of its proper divisors (270880084).

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

213824780 is a wasteful number, since it uses less digits than its factorization.

213824780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 213824780 is about 14622.7487156143. The cubic root of 213824780 is about 597.9791083778.

It can be divided in two parts, 21382 and 4780, that added together give a palindrome (26162).

The spelling of 213824780 in words is "two hundred thirteen million, eight hundred twenty-four thousand, seven hundred eighty".