208681920 has 280 divisors, whose sum is σ = 759006864. Its totient is φ = 54411264.

The previous prime is 208681909. The next prime is 208681931. The reversal of 208681920 is 29186802.

It is an interprime number because it is at equal distance from previous prime (208681909) and next prime (208681931).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2151312 + ... + 2151408.

Almost surely, 2^208681920 is an apocalyptic number.

208681920 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 208681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379503432).

208681920 is an abundant number, since it is smaller than the sum of its proper divisors (550324944).

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

208681920 is an equidigital number, since it uses as much as digits as its factorization.

208681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

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

The square root of 208681920 is about 14445.8270791257. The cubic root of 208681920 is about 593.1460026659.

The spelling of 208681920 in words is "two hundred eight million, six hundred eighty-one thousand, nine hundred twenty".