268877576 has 64 divisors (see below), whose sum is σ = 585999360. Its totient is φ = 114304000.

The previous prime is 268877563. The next prime is 268877579. The reversal of 268877576 is 675778862.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (268877579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285266 + ... + 286206.

It is an arithmetic number, because the mean of its divisors is an integer number (9156240).

Almost surely, 2^268877576 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 268877576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292999680).

268877576 is an abundant number, since it is smaller than the sum of its proper divisors (317121784).

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

268877576 is a wasteful number, since it uses less digits than its factorization.

268877576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1162 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 56.

The square root of 268877576 is about 16397.4868806168. The cubic root of 268877576 is about 645.4335374286.

The spelling of 268877576 in words is "two hundred sixty-eight million, eight hundred seventy-seven thousand, five hundred seventy-six".