208125760 has 56 divisors (see below), whose sum is σ = 496875816. Its totient is φ = 83036160.

The previous prime is 208125707. The next prime is 208125761. The reversal of 208125760 is 67521802.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 207821056 = 552^2 + 14416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208125761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195630 + ... + 196690.

Almost surely, 2^208125760 is an apocalyptic number.

208125760 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 208125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248437908).

208125760 is an abundant number, since it is smaller than the sum of its proper divisors (288750056).

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

208125760 is a wasteful number, since it uses less digits than its factorization.

208125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 208125760 is about 14426.5643865752. The cubic root of 208125760 is about 592.6186010036.

The spelling of 208125760 in words is "two hundred eight million, one hundred twenty-five thousand, seven hundred sixty".