686460 has 48 divisors (see below), whose sum is σ = 2038176. Its totient is φ = 172032.

The previous prime is 686453. The next prime is 686473. The reversal of 686460 is 64686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

686460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (42462).

2⁶⁸⁶⁴⁶⁰ is an apocalyptic number.

686460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019088).

686460 is an abundant number, since it is smaller than the sum of its proper divisors (1351716).

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

686460 is a wasteful number, since it uses less digits than its factorization.

686460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 686460 is about 828.5288166383. The cubic root of 686460 is about 88.2141821385.

The spelling of 686460 in words is "six hundred eighty-six thousand, four hundred sixty".