268712 has 8 divisors (see below), whose sum is σ = 503850. Its totient is φ = 134352.

The previous prime is 268693. The next prime is 268721. The reversal of 268712 is 217862.

It can be written as a sum of positive squares in only one way, i.e., 148996 + 119716 = 386^2 + 346^2 .

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

It is a super-2 number, since 2×268712² = 144412277888, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹² + 6 + 7⁴ + 8² + 1 + 2¹⁸ .

It is an unprimeable number.

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, 16787 + ... + 16802.

2²⁶⁸⁷¹² is an apocalyptic number.

It is an amenable number.

268712 is a deficient number, since it is larger than the sum of its proper divisors (235138).

268712 is a wasteful number, since it uses less digits than its factorization.

268712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33595 (or 33591 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 268712 is about 518.3743820831. The cubic root of 268712 is about 64.5301023282.

The spelling of 268712 in words is "two hundred sixty-eight thousand, seven hundred twelve".