208097280 has 156 divisors (see below), whose sum is σ = 721954740. Its totient is φ = 55443456.

The previous prime is 208097257. The next prime is 208097293. The reversal of 208097280 is 82790802.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 165482496 = 6528^2 + 12864^2 .

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 11 ways as a sum of consecutive naturals, for example, 183756 + ... + 184884.

It is an arithmetic number, because the mean of its divisors is an integer number (4627915).

Almost surely, 2^208097280 is an apocalyptic number.

208097280 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 208097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360977370).

208097280 is an abundant number, since it is smaller than the sum of its proper divisors (513857460).

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

208097280 is a wasteful number, since it uses less digits than its factorization.

208097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1139 counting only the distinct ones).

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

The square root of 208097280 is about 14425.5772848091. The cubic root of 208097280 is about 592.5915683933.

The spelling of 208097280 in words is "two hundred eight million, ninety-seven thousand, two hundred eighty".