208020832 has 48 divisors (see below), whose sum is σ = 431434080. Its totient is φ = 98537472.

The previous prime is 208020829. The next prime is 208020847. The reversal of 208020832 is 238020802.

It is a junction number, because it is equal to n+sod(n) for n = 208020797 and 208020806.

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 7 ways as a sum of consecutive naturals, for example, 78928 + ... + 81520.

It is an arithmetic number, because the mean of its divisors is an integer number (8988210).

Almost surely, 2^208020832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208020832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215717040).

208020832 is an abundant number, since it is smaller than the sum of its proper divisors (223413248).

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

208020832 is a wasteful number, since it uses less digits than its factorization.

208020832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 208020832 is about 14422.9273034291. The cubic root of 208020832 is about 592.5189933795.

The spelling of 208020832 in words is "two hundred eight million, twenty thousand, eight hundred thirty-two".