268240128 has 144 divisors (see below), whose sum is σ = 782246976. Its totient is φ = 81100800.

The previous prime is 268240079. The next prime is 268240151. The reversal of 268240128 is 821042862.

It is a happy number.

It is a congruent number.

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, 668728 + ... + 669128.

Almost surely, 2^268240128 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 268240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391123488).

268240128 is an abundant number, since it is smaller than the sum of its proper divisors (514006848).

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

268240128 is a wasteful number, since it uses less digits than its factorization.

268240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 268240128 is about 16378.0379777310. The cubic root of 268240128 is about 644.9230747752.

The spelling of 268240128 in words is "two hundred sixty-eight million, two hundred forty thousand, one hundred twenty-eight".