268684128 has 144 divisors (see below), whose sum is σ = 802161360. Its totient is φ = 88459776.

The previous prime is 268684123. The next prime is 268684151. The reversal of 268684128 is 821486862.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268684123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847426 + ... + 847742.

It is an arithmetic number, because the mean of its divisors is an integer number (5570565).

Almost surely, 2^268684128 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 268684128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401080680).

268684128 is an abundant number, since it is smaller than the sum of its proper divisors (533477232).

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

268684128 is a wasteful number, since it uses less digits than its factorization.

268684128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 268684128 is about 16391.5871104661. The cubic root of 268684128 is about 645.2787113495.

The spelling of 268684128 in words is "two hundred sixty-eight million, six hundred eighty-four thousand, one hundred twenty-eight".