268206128 has 80 divisors (see below), whose sum is σ = 578534400. Its totient is φ = 119877120.

The previous prime is 268206053. The next prime is 268206131. The reversal of 268206128 is 821602862.

It is a Cunningham number, because it is equal to 16377²-1.

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, 622073 + ... + 622503.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2^268206128 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 268206128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289267200).

268206128 is an abundant number, since it is smaller than the sum of its proper divisors (310328272).

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

268206128 is a wasteful number, since it uses less digits than its factorization.

268206128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 268206128 is about 16376.9999694694. Note that the first 4 decimals coincide. The cubic root of 268206128 is about 644.8958251722.

The spelling of 268206128 in words is "two hundred sixty-eight million, two hundred six thousand, one hundred twenty-eight".