206819424 has 144 divisors (see below), whose sum is σ = 677188512. Its totient is φ = 58650624.

The previous prime is 206819413. The next prime is 206819441. The reversal of 206819424 is 424918602.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 348472 + ... + 349064.

It is an arithmetic number, because the mean of its divisors is an integer number (4702698).

Almost surely, 2^206819424 is an apocalyptic number.

206819424 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 206819424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338594256).

206819424 is an abundant number, since it is smaller than the sum of its proper divisors (470369088).

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

206819424 is a wasteful number, since it uses less digits than its factorization.

206819424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 206819424 is about 14381.2177509417. The cubic root of 206819424 is about 591.3761080077.

The spelling of 206819424 in words is "two hundred six million, eight hundred nineteen thousand, four hundred twenty-four".