686072 has 16 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 340480.

The previous prime is 686057. The next prime is 686087. The reversal of 686072 is 270686.

It is an interprime number because it is at equal distance from previous prime (686057) and next prime (686087).

Together with 609928 it forms an amicable pair .

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 686072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1304 + ... + 1752.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

2⁶⁸⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

686072 is a deficient number, since it is larger than the sum of its proper divisors (609928).

686072 is a wasteful number, since it uses less digits than its factorization.

686072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 686072 is about 828.2946335695. The cubic root of 686072 is about 88.1975589056.

The spelling of 686072 in words is "six hundred eighty-six thousand, seventy-two".