208865280 has 192 divisors, whose sum is σ = 720982080. Its totient is φ = 51314688.

The previous prime is 208865269. The next prime is 208865287. The reversal of 208865280 is 82568802.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (208865287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399099 + ... + 399621.

It is an arithmetic number, because the mean of its divisors is an integer number (3755115).

Almost surely, 2^208865280 is an apocalyptic number.

208865280 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 208865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360491040).

208865280 is an abundant number, since it is smaller than the sum of its proper divisors (512116800).

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

208865280 is a wasteful number, since it uses less digits than its factorization.

208865280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 208865280 is about 14452.1721550776. The cubic root of 208865280 is about 593.3196759330.

The spelling of 208865280 in words is "two hundred eight million, eight hundred sixty-five thousand, two hundred eighty".