268576 has 48 divisors (see below), whose sum is σ = 665280. Its totient is φ = 103680.

The previous prime is 268573. The next prime is 268607. The reversal of 268576 is 675862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2410 + ... + 2518.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2²⁶⁸⁵⁷⁶ 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 268576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

268576 is an abundant number, since it is smaller than the sum of its proper divisors (396704).

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

268576 is a wasteful number, since it uses less digits than its factorization.

268576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 268576 is about 518.2431861588. The cubic root of 268576 is about 64.5192138740.

The spelling of 268576 in words is "two hundred sixty-eight thousand, five hundred seventy-six".