208649560 has 128 divisors (see below), whose sum is σ = 566092800. Its totient is φ = 67668480.

The previous prime is 208649543. The next prime is 208649563. The reversal of 208649560 is 65946802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208649563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152670 + ... + 1152850.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^208649560 is an apocalyptic number.

208649560 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 208649560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

208649560 is an abundant number, since it is smaller than the sum of its proper divisors (357443240).

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

208649560 is a wasteful number, since it uses less digits than its factorization.

208649560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 208649560 is about 14444.7069890670. The cubic root of 208649560 is about 593.1153416534.

The spelling of 208649560 in words is "two hundred eight million, six hundred forty-nine thousand, five hundred sixty".