208120560 has 160 divisors (see below), whose sum is σ = 692098560. Its totient is φ = 51600384.

The previous prime is 208120541. The next prime is 208120573. The reversal of 208120560 is 65021802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 208120560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203731 + ... + 204749.

It is an arithmetic number, because the mean of its divisors is an integer number (4325616).

Almost surely, 2^208120560 is an apocalyptic number.

208120560 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 208120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

208120560 is an abundant number, since it is smaller than the sum of its proper divisors (483978000).

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

208120560 is a wasteful number, since it uses less digits than its factorization.

208120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 208120560 is about 14426.3841623603. The cubic root of 208120560 is about 592.6136654582.

The spelling of 208120560 in words is "two hundred eight million, one hundred twenty thousand, five hundred sixty".