268178688 has 144 divisors (see below), whose sum is σ = 804518400. Its totient is φ = 89206272.

The previous prime is 268178681. The next prime is 268178699. The reversal of 268178688 is 886871862.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268178681) 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 15 ways as a sum of consecutive naturals, for example, 559633 + ... + 560111.

Almost surely, 2^268178688 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 268178688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402259200).

268178688 is an abundant number, since it is smaller than the sum of its proper divisors (536339712).

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

268178688 is an frugal number, since it uses more digits than its factorization.

268178688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 484 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 268178688 is about 16376.1621877655. The cubic root of 268178688 is about 644.8738314602.

The spelling of 268178688 in words is "two hundred sixty-eight million, one hundred seventy-eight thousand, six hundred eighty-eight".