686340 has 96 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 172800.

The previous prime is 686339. The next prime is 686353. The reversal of 686340 is 43686.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16720 + ... + 16760.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁶⁸⁶³⁴⁰ is an apocalyptic number.

686340 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 686340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

686340 is an abundant number, since it is smaller than the sum of its proper divisors (1571580).

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

686340 is a wasteful number, since it uses less digits than its factorization.

686340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 686340 is about 828.4563959558. The cubic root of 686340 is about 88.2090416017.

It can be divided in two parts, 6863 and 40, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 686340 in words is "six hundred eighty-six thousand, three hundred forty".