208122656 has 96 divisors (see below), whose sum is σ = 499968000. Its totient is φ = 83296512.

The previous prime is 208122643. The next prime is 208122661. The reversal of 208122656 is 656221802.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 335915 + ... + 336533.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^208122656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208122656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

208122656 is an abundant number, since it is smaller than the sum of its proper divisors (291845344).

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

208122656 is a wasteful number, since it uses less digits than its factorization.

208122656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 208122656 is about 14426.4568068532. The cubic root of 208122656 is about 592.6156548725.

The spelling of 208122656 in words is "two hundred eight million, one hundred twenty-two thousand, six hundred fifty-six".