686268 has 36 divisors (see below), whose sum is σ = 1893528. Its totient is φ = 207840.

The previous prime is 686267. The next prime is 686269. The reversal of 686268 is 862686.

It is an interprime number because it is at equal distance from previous prime (686267) and next prime (686269).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686267) 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 11 ways as a sum of consecutive naturals, for example, 471 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (52598).

2⁶⁸⁶²⁶⁸ is an apocalyptic number.

It is an amenable number.

686268 is an abundant number, since it is smaller than the sum of its proper divisors (1207260).

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

686268 is a wasteful number, since it uses less digits than its factorization.

686268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1749 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 686268 is about 828.4129405073. The cubic root of 686268 is about 88.2059569920.

It can be divided in two parts, 68 and 6268, that added together give a palindrome (6336).

The spelling of 686268 in words is "six hundred eighty-six thousand, two hundred sixty-eight".