208648224 has 120 divisors (see below), whose sum is σ = 620481708. Its totient is φ = 68774400.

The previous prime is 208648211. The next prime is 208648229. The reversal of 208648224 is 422846802.

It is a happy number.

208648224 is a `hidden beast` number, since 2 + 0 + 8 + 648 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 192099600 + 16548624 = 13860^2 + 4068^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (208648229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 261394 + ... + 262190.

Almost surely, 2^208648224 is an apocalyptic number.

208648224 is a gapful number since it is divisible by the number (24) 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 208648224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310240854).

208648224 is an abundant number, since it is smaller than the sum of its proper divisors (411833484).

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

208648224 is a wasteful number, since it uses less digits than its factorization.

208648224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 208648224 is about 14444.6607436797. The cubic root of 208648224 is about 593.1140757288.

The spelling of 208648224 in words is "two hundred eight million, six hundred forty-eight thousand, two hundred twenty-four".