208813820 has 36 divisors (see below), whose sum is σ = 449537592. Its totient is φ = 81475200.

The previous prime is 208813789. The next prime is 208813837. The reversal of 208813820 is 28318802.

It is a super-2 number, since 2×208813820² = 87206422845984800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30515 + ... + 36725.

Almost surely, 2^208813820 is an apocalyptic number.

208813820 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 208813820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224768796).

208813820 is an abundant number, since it is smaller than the sum of its proper divisors (240723772).

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

208813820 is a wasteful number, since it uses less digits than its factorization.

208813820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 208813820 is about 14450.3916901930. The cubic root of 208813820 is about 593.2709447790.

The spelling of 208813820 in words is "two hundred eight million, eight hundred thirteen thousand, eight hundred twenty".