268589776 has 180 divisors, whose sum is σ = 697463172. Its totient is φ = 99283968.

The previous prime is 268589767. The next prime is 268589777. The reversal of 268589776 is 677985862.

268589776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 176890000 = 9576^2 + 13300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 268589776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268589777) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3679276 + ... + 3679348.

Almost surely, 2^268589776 is an apocalyptic number.

268589776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268589776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348731586).

268589776 is an abundant number, since it is smaller than the sum of its proper divisors (428873396).

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

268589776 is a wasteful number, since it uses less digits than its factorization.

268589776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 58.

The square root of 268589776 is about 16388.7087959973. The cubic root of 268589776 is about 645.2031697765.

The spelling of 268589776 in words is "two hundred sixty-eight million, five hundred eighty-nine thousand, seven hundred seventy-six".