208821960 has 96 divisors (see below), whose sum is σ = 681670080. Its totient is φ = 55440000.

The previous prime is 208821923. The next prime is 208821967. The reversal of 208821960 is 69128802.

208821960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208821960² = 87213221956483200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (208821967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89205 + ... + 91515.

It is an arithmetic number, because the mean of its divisors is an integer number (7100730).

Almost surely, 2^208821960 is an apocalyptic number.

208821960 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 208821960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340835040).

208821960 is an abundant number, since it is smaller than the sum of its proper divisors (472848120).

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

208821960 is a wasteful number, since it uses less digits than its factorization.

208821960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 208821960 is about 14450.6733407132. The cubic root of 208821960 is about 593.2786536602.

The spelling of 208821960 in words is "two hundred eight million, eight hundred twenty-one thousand, nine hundred sixty".