268566544 has 45 divisors (see below), whose sum is σ = 555059991. Its totient is φ = 125859840.

The previous prime is 268566509. The next prime is 268566559. The reversal of 268566544 is 445665862.

The square root of 268566544 is 16388.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 75690000 + 192876544 = 8700^2 + 13888^2 .

It is a super-2 number, since 2×268566544² = 144255977112207872, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268566494 and 268566503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1114264 + ... + 1114504.

Almost surely, 2^268566544 is an apocalyptic number.

268566544 is the 16388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268566544

268566544 is an abundant number, since it is smaller than the sum of its proper divisors (286493447).

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

268566544 is an equidigital number, since it uses as much as digits as its factorization.

268566544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 260 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 46.

The cubic root of 268566544 is about 645.1845666953.

The spelling of 268566544 in words is "two hundred sixty-eight million, five hundred sixty-six thousand, five hundred forty-four".