208000980 has 288 divisors, whose sum is σ = 752734080. Its totient is φ = 47278080.

The previous prime is 208000973. The next prime is 208000987. The reversal of 208000980 is 89000802.

It is an interprime number because it is at equal distance from previous prime (208000973) and next prime (208000987).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208000987) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2144292 + ... + 2144388.

It is an arithmetic number, because the mean of its divisors is an integer number (2613660).

Almost surely, 2^208000980 is an apocalyptic number.

208000980 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 208000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376367040).

208000980 is an abundant number, since it is smaller than the sum of its proper divisors (544733100).

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

208000980 is a wasteful number, since it uses less digits than its factorization.

208000980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 208000980 is about 14422.2390772030. The cubic root of 208000980 is about 592.5001442076.

The spelling of 208000980 in words is "two hundred eight million, nine hundred eighty", and thus it is an aban number.