268249776 has 80 divisors (see below), whose sum is σ = 708288000. Its totient is φ = 87462144.

The previous prime is 268249769. The next prime is 268249799. The reversal of 268249776 is 677942862.

268249776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768450 + ... + 768798.

It is an arithmetic number, because the mean of its divisors is an integer number (8853600).

Almost surely, 2^268249776 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 268249776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354144000).

268249776 is an abundant number, since it is smaller than the sum of its proper divisors (440038224).

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

268249776 is a wasteful number, since it uses less digits than its factorization.

268249776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 268249776 is about 16378.3325158577. The cubic root of 268249776 is about 644.9308068314.

The spelling of 268249776 in words is "two hundred sixty-eight million, two hundred forty-nine thousand, seven hundred seventy-six".