208138960 has 160 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 74342400.

The previous prime is 208138933. The next prime is 208138967. The reversal of 208138960 is 69831802.

208138960 = 120² + 121² + ... + 855².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208138967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2338596 + ... + 2338684.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^208138960 is an apocalyptic number.

208138960 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 208138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

208138960 is an abundant number, since it is smaller than the sum of its proper divisors (331826480).

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

208138960 is a wasteful number, since it uses less digits than its factorization.

208138960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 208138960 is about 14427.0218687018. The cubic root of 208138960 is about 592.6311293264.

It can be divided in two parts, 2081 and 38960, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 208138960 in words is "two hundred eight million, one hundred thirty-eight thousand, nine hundred sixty".