268648 has 8 divisors (see below), whose sum is σ = 503730. Its totient is φ = 134320.

The previous prime is 268643. The next prime is 268661. The reversal of 268648 is 846862.

It can be written as a sum of positive squares in only one way, i.e., 268324 + 324 = 518^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (268643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16783 + ... + 16798.

2²⁶⁸⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

268648 is a deficient number, since it is larger than the sum of its proper divisors (235082).

268648 is a wasteful number, since it uses less digits than its factorization.

268648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33587 (or 33583 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 268648 is about 518.3126469613. The cubic root of 268648 is about 64.5249788075.

The spelling of 268648 in words is "two hundred sixty-eight thousand, six hundred forty-eight".