208813792 has 48 divisors (see below), whose sum is σ = 460624752. Its totient is φ = 92344320.

The previous prime is 208813789. The next prime is 208813837. The reversal of 208813792 is 297318802.

208813792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5008 + ... + 21040.

It is an arithmetic number, because the mean of its divisors is an integer number (9596349).

Almost surely, 2^208813792 is an apocalyptic number.

208813792 is a gapful number since it is divisible by the number (22) 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 208813792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230312376).

208813792 is an abundant number, since it is smaller than the sum of its proper divisors (251810960).

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

208813792 is a wasteful number, since it uses less digits than its factorization.

208813792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16091 (or 16083 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 208813792 is about 14450.3907213611. The cubic root of 208813792 is about 593.2709182617.

The spelling of 208813792 in words is "two hundred eight million, eight hundred thirteen thousand, seven hundred ninety-two".