208980720 has 240 divisors, whose sum is σ = 767763360. Its totient is φ = 50632704.

The previous prime is 208980719. The next prime is 208980769. The reversal of 208980720 is 27089802.

208980720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 776746 + ... + 777014.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2^208980720 is an apocalyptic number.

208980720 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 208980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

208980720 is an abundant number, since it is smaller than the sum of its proper divisors (558782640).

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

208980720 is a wasteful number, since it uses less digits than its factorization.

208980720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 208980720 is about 14456.1654666789. The cubic root of 208980720 is about 593.4289652136.

The spelling of 208980720 in words is "two hundred eight million, nine hundred eighty thousand, seven hundred twenty".