208327020 has 192 divisors, whose sum is σ = 689472000. Its totient is φ = 46448640.

The previous prime is 208327019. The next prime is 208327051. The reversal of 208327020 is 20723802.

208327020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463756 + ... + 464204.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^208327020 is an apocalyptic number.

208327020 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 208327020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

208327020 is an abundant number, since it is smaller than the sum of its proper divisors (481144980).

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

208327020 is a wasteful number, since it uses less digits than its factorization.

208327020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 208327020 is about 14433.5380278018. The cubic root of 208327020 is about 592.8095624604.

The spelling of 208327020 in words is "two hundred eight million, three hundred twenty-seven thousand, twenty".