208861520 has 60 divisors (see below), whose sum is σ = 564895764. Its totient is φ = 71608320.

The previous prime is 208861519. The next prime is 208861529. The reversal of 208861520 is 25168802.

208861520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 93857344 + 115004176 = 9688^2 + 10724^2 .

It is a super-3 number, since 3×208861520³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208861529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22721 + ... + 30560.

Almost surely, 2^208861520 is an apocalyptic number.

208861520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208861520 is an abundant number, since it is smaller than the sum of its proper divisors (356034244).

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

208861520 is a wasteful number, since it uses less digits than its factorization.

208861520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53308 (or 53295 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 208861520 is about 14452.0420702405. The cubic root of 208861520 is about 593.3161155912.

The spelling of 208861520 in words is "two hundred eight million, eight hundred sixty-one thousand, five hundred twenty".